Nonlinear Analysis-Theory Methods & Applications最新文献

{"title":"Vanishing capillarity–viscosity limit of the incompressible Navier–Stokes–Korteweg equations with slip boundary condition","authors":"Pingping Wang ,&nbsp;Zhipeng Zhang","doi":"10.1016/j.na.2024.113526","DOIUrl":"https://doi.org/10.1016/j.na.2024.113526","url":null,"abstract":"<div><p>In this paper, we investigate the vanishing capillarity–viscosity limit of the incompressible Navier–Stokes–Korteweg (NSK) equations in a three-dimensional horizontally periodic strip domain, in which the velocity of the fluid is supplemented with slip boundary condition and the gradient of density with Dirichlet boundary condition on the boundary. We prove that there exists an positive constant <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> independent on the capillarity and viscosity coefficients, such that the incompressible NSK equations have a unique strong solution on <span><math><mrow><mo>[</mo><mn>0</mn><mo>,</mo><msub><mrow><mi>T</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>]</mo></mrow></math></span> and the solution is uniformly bounded in <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span>. Based on the uniform estimates, we further give the convergence rate in <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span> from the solutions of the incompressible NSK equations to the solution of the inhomogeneous incompressible Euler equations as the capillarity and viscosity coefficients go to zero simultaneously.</p></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140041466","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Fractional Hardy–Rellich inequalities via integration by parts","authors":"Nicola De Nitti ,&nbsp;Sidy Moctar Djitte","doi":"10.1016/j.na.2023.113478","DOIUrl":"https://doi.org/10.1016/j.na.2023.113478","url":null,"abstract":"<div><p>We prove a fractional Hardy–Rellich inequality with an explicit constant in bounded domains of class <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>1</mn><mo>,</mo><mn>1</mn></mrow></msup></math></span>. The strategy of the proof generalizes an approach pioneered by E. Mitidieri (<em>Mat. Zametki</em>, 2000) by relying on a Pohozaev-type identity.</p></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140042468","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On the global and singular dynamics of the 2D cubic nonlinear Schrödinger equation on cylinders","authors":"Adán J. Corcho ,&nbsp;Mahendra Panthee","doi":"10.1016/j.na.2024.113519","DOIUrl":"https://doi.org/10.1016/j.na.2024.113519","url":null,"abstract":"<div><p>We consider the Cauchy problem associated to the focusing cubic nonlinear Schrödinger equation posed on a two dimensional cylindrical domain <span><math><mrow><mi>R</mi><mo>×</mo><msub><mrow><mi>T</mi></mrow><mrow><mi>ℓ</mi></mrow></msub></mrow></math></span>. We prove that localized transverse perturbations of an especial one-parameter family of bound states solutions <span><math><mrow><mo>{</mo><mrow><msub><mrow><mi>u</mi></mrow><mrow><mi>ω</mi><mo>,</mo><mi>ℓ</mi></mrow></msub></mrow><mo>}</mo></mrow></math></span>, <span><math><mrow><mi>ω</mi><mo>&gt;</mo><mo>−</mo><mfrac><mrow><msup><mrow><mi>π</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow><mrow><msup><mrow><mi>ℓ</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac></mrow></math></span> can be extended globally in time. On the other hand, we establish the existence of solution in the energy space <span><math><mrow><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup><mrow><mo>(</mo><mi>R</mi><mo>×</mo><msub><mrow><mi>T</mi></mrow><mrow><mi>ℓ</mi></mrow></msub><mo>)</mo></mrow></mrow></math></span>, with non-critical mass, that blows-up in finite time under the hypothesis of no growth in time of the directional <span><math><msubsup><mrow><mi>L</mi></mrow><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></msubsup></math></span>-norm of the solution when the periodic variable <span><math><mi>y</mi></math></span> is localized. We also prove that a family of bound states <span><math><mrow><mo>{</mo><mrow><msub><mrow><mi>u</mi></mrow><mrow><mi>ω</mi><mo>,</mo><mi>ℓ</mi></mrow></msub></mrow><mo>}</mo></mrow></math></span> is not uniformly continuous from <span><math><mrow><msup><mrow><mi>H</mi></mrow><mrow><mi>s</mi></mrow></msup><mrow><mo>(</mo><mi>R</mi><mo>×</mo><msub><mrow><mi>T</mi></mrow><mrow><mi>ℓ</mi></mrow></msub><mo>)</mo></mrow></mrow></math></span> into the space of continuous functions <span><math><mrow><mi>C</mi><mrow><mo>(</mo><mrow><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mi>T</mi><mo>]</mo></mrow><mo>;</mo><mspace></mspace><msup><mrow><mi>H</mi></mrow><mrow><mi>s</mi></mrow></msup><mrow><mo>(</mo><mi>R</mi><mo>×</mo><msub><mrow><mi>T</mi></mrow><mrow><mi>ℓ</mi></mrow></msub><mo>)</mo></mrow></mrow><mo>)</mo></mrow></mrow></math></span>, whenever <span><math><mrow><mo>−</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>≤</mo><mi>s</mi><mo>&lt;</mo><mn>0</mn></mrow></math></span>, including the regularity <span><math><mrow><mi>s</mi><mo>=</mo><mo>−</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mrow></math></span> for the <em>non-uniformly continuous flow</em>, unlike to the case of focusing cubic nonlinear Schrödinger equation on <span><math><mi>R</mi></math></span>.</p></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139992526","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Quasilinear Lane–Emden type systems with sub-natural growth terms","authors":"Estevan Luiz da Silva ,&nbsp;João Marcos do Ó","doi":"10.1016/j.na.2024.113516","DOIUrl":"https://doi.org/10.1016/j.na.2024.113516","url":null,"abstract":"<div><p>Global pointwise estimates are obtained for quasilinear Lane–Emden-type systems involving measures in the “sublinear growth” rate. We give necessary and sufficient conditions for existence expressed in terms of Wolff’s potential. Our approach is based on recent advances due to Kilpeläinen and Malý in the potential theory. This method enables us to treat several problems, such as equations involving general quasilinear operators and fractional Laplacian.</p></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139975580","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Asymptotic decay of solutions for sublinear fractional Choquard equations","authors":"Marco Gallo","doi":"10.1016/j.na.2024.113515","DOIUrl":"https://doi.org/10.1016/j.na.2024.113515","url":null,"abstract":"<div><p>Goal of this paper is to study the asymptotic behaviour of the solutions of the following doubly nonlocal equation <span><span><span><math><mrow><msup><mrow><mrow><mo>(</mo><mo>−</mo><mi>Δ</mi><mo>)</mo></mrow></mrow><mrow><mi>s</mi></mrow></msup><mi>u</mi><mo>+</mo><mi>μ</mi><mi>u</mi><mo>=</mo><mrow><mo>(</mo><msub><mrow><mi>I</mi></mrow><mrow><mi>α</mi></mrow></msub><mo>∗</mo><mi>F</mi><mrow><mo>(</mo><mi>u</mi><mo>)</mo></mrow><mo>)</mo></mrow><mi>f</mi><mrow><mo>(</mo><mi>u</mi><mo>)</mo></mrow><mspace></mspace><mtext>on</mtext><mspace></mspace><msup><mrow><mi>R</mi></mrow><mrow><mi>N</mi></mrow></msup></mrow></math></span></span></span>where <span><math><mrow><mi>s</mi><mo>∈</mo><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span>, <span><math><mrow><mi>N</mi><mo>≥</mo><mn>2</mn></mrow></math></span>, <span><math><mrow><mi>α</mi><mo>∈</mo><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mi>N</mi><mo>)</mo></mrow></mrow></math></span>, <span><math><mrow><mi>μ</mi><mo>&gt;</mo><mn>0</mn></mrow></math></span>, <span><math><msub><mrow><mi>I</mi></mrow><mrow><mi>α</mi></mrow></msub></math></span> denotes the Riesz potential and <span><math><mrow><mi>F</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>=</mo><msubsup><mrow><mo>∫</mo></mrow><mrow><mn>0</mn></mrow><mrow><mi>t</mi></mrow></msubsup><mi>f</mi><mrow><mo>(</mo><mi>τ</mi><mo>)</mo></mrow><mi>d</mi><mi>τ</mi></mrow></math></span> is a general nonlinearity with a sublinear growth in the origin. The found decay is of polynomial type, with a rate possibly slower than <span><math><mrow><mo>∼</mo><mfrac><mrow><mn>1</mn></mrow><mrow><msup><mrow><mrow><mo>|</mo><mi>x</mi><mo>|</mo></mrow></mrow><mrow><mi>N</mi><mo>+</mo><mn>2</mn><mi>s</mi></mrow></msup></mrow></mfrac></mrow></math></span>. The result is new even for homogeneous functions <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>u</mi><mo>)</mo></mrow><mo>=</mo><msup><mrow><mrow><mo>|</mo><mi>u</mi><mo>|</mo></mrow></mrow><mrow><mi>r</mi><mo>−</mo><mn>2</mn></mrow></msup><mi>u</mi></mrow></math></span>, <span><math><mrow><mi>r</mi><mo>∈</mo><mrow><mo>[</mo><mfrac><mrow><mi>N</mi><mo>+</mo><mi>α</mi></mrow><mrow><mi>N</mi></mrow></mfrac><mo>,</mo><mn>2</mn><mo>)</mo></mrow></mrow></math></span>, and it complements the decays obtained in the linear and superlinear cases in Cingolani et al. (2022); D’Avenia et al. (2015). Differently from the local case <span><math><mrow><mi>s</mi><mo>=</mo><mn>1</mn></mrow></math></span> in Moroz and Van Schaftingen (2013), new phenomena arise connected to a new “<span><math><mi>s</mi></math></span>-sublinear” threshold that we detect on the growth of <span><math><mi>f</mi></math></span>. To gain the result we in particular prove a Chain Rule type inequality in the fractional setting, suitable for concave powers.</p></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0362546X24000348/pdfft?md5=d14fa534745d380d224b53616b67a72e&pid=1-s2.0-S0362546X24000348-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139942412","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Growth of Sobolev norms and strong convergence for the discrete nonlinear Schrödinger equation","authors":"Quentin Chauleur","doi":"10.1016/j.na.2024.113517","DOIUrl":"https://doi.org/10.1016/j.na.2024.113517","url":null,"abstract":"<div><p>We show the strong convergence in arbitrary Sobolev norms of solutions of the discrete nonlinear Schrödinger on an infinite lattice towards those of the nonlinear Schrödinger equation on the whole space. We restrict our attention to the one and two-dimensional case, with a set of parameters which implies global well-posedness for the continuous equation. Our proof relies on the use of bilinear estimates for the Shannon interpolation as well as the control of the growth of discrete Sobolev norms that we both prove.</p></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139907999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"About the general chain rule for functions of bounded variation","authors":"Camillo Brena ,&nbsp;Nicola Gigli","doi":"10.1016/j.na.2024.113518","DOIUrl":"https://doi.org/10.1016/j.na.2024.113518","url":null,"abstract":"<div><p>We give an alternative proof of the general chain rule for functions of bounded variation (Ambrosio and Maso, 1990), which allows to compute the distributional differential of <span><math><mrow><mi>φ</mi><mo>∘</mo><mi>F</mi></mrow></math></span>, where <span><math><mrow><mi>φ</mi><mo>∈</mo><mi>LIP</mi><mrow><mo>(</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>m</mi></mrow></msup><mo>)</mo></mrow></mrow></math></span> and <span><math><mrow><mi>F</mi><mo>∈</mo><mi>BV</mi><mrow><mo>(</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>,</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>m</mi></mrow></msup><mo>)</mo></mrow></mrow></math></span>. In our argument we build on top of recently established links between “closability of certain differentiation operators” and “differentiability of Lipschitz functions in related directions” (Alberti et al., 2023): we couple this with the observation that “the map that takes <span><math><mi>φ</mi></math></span> and returns the distributional differential of <span><math><mrow><mi>φ</mi><mo>∘</mo><mi>F</mi></mrow></math></span> is closable” to conclude.</p><p>Unlike previous results in this direction, our proof can directly be adapted to the non-smooth setting of finite dimensional RCD spaces.</p></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139907998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Higher regularity for minimizers of very degenerate convex integrals","authors":"Antonio Giuseppe Grimaldi","doi":"10.1016/j.na.2024.113520","DOIUrl":"https://doi.org/10.1016/j.na.2024.113520","url":null,"abstract":"<div><p>In this paper, we consider minimizers of integral functionals of the type <span><span><span><math><mrow><mi>F</mi><mrow><mo>(</mo><mi>u</mi><mo>)</mo></mrow><mo>≔</mo><msub><mrow><mo>∫</mo></mrow><mrow><mi>Ω</mi></mrow></msub><mfrac><mrow><mn>1</mn></mrow><mrow><mi>p</mi></mrow></mfrac><msubsup><mrow><mrow><mo>(</mo><mrow><msub><mrow><mrow><mo>|</mo><mi>D</mi><mi>u</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>|</mo></mrow></mrow><mrow><mi>γ</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></msub><mo>−</mo><mn>1</mn></mrow><mo>)</mo></mrow></mrow><mrow><mo>+</mo></mrow><mrow><mi>p</mi></mrow></msubsup><mspace></mspace><mi>d</mi><mi>x</mi><mo>,</mo></mrow></math></span></span></span>for <span><math><mrow><mi>p</mi><mo>&gt;</mo><mn>1</mn></mrow></math></span>, where <span><math><mrow><mi>u</mi><mo>:</mo><mi>Ω</mi><mo>⊂</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>→</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>N</mi></mrow></msup></mrow></math></span>, with <span><math><mrow><mi>N</mi><mo>≥</mo><mn>1</mn></mrow></math></span>, is a possibly vector-valued function. Here, <span><math><msub><mrow><mrow><mo>|</mo><mi>⋅</mi><mo>|</mo></mrow></mrow><mrow><mi>γ</mi></mrow></msub></math></span> is the associated norm of a bounded, symmetric and coercive bilinear form on <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi><mi>N</mi></mrow></msup></math></span>. We prove that <span><math><mrow><mi>K</mi><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>D</mi><mi>u</mi><mo>)</mo></mrow></mrow></math></span> is continuous in <span><math><mi>Ω</mi></math></span>, for any continuous function <span><math><mrow><mi>K</mi><mo>:</mo><mi>Ω</mi><mo>×</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi><mi>N</mi></mrow></msup><mo>→</mo><mi>R</mi></mrow></math></span> vanishing on <span><math><mrow><mo>{</mo><mrow><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>ξ</mi><mo>)</mo></mrow><mo>∈</mo><mi>Ω</mi><mo>×</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi><mi>N</mi></mrow></msup><mo>:</mo><msub><mrow><mrow><mo>|</mo><mi>ξ</mi><mo>|</mo></mrow></mrow><mrow><mi>γ</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></msub><mo>≤</mo><mn>1</mn></mrow><mo>}</mo></mrow></math></span>.</p></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139908000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Global behavior of the solutions to nonlinear wave equations with combined power-type nonlinearities with variable coefficients","authors":"M. Dimova ,&nbsp;N. Kolkovska ,&nbsp;N. Kutev","doi":"10.1016/j.na.2024.113504","DOIUrl":"https://doi.org/10.1016/j.na.2024.113504","url":null,"abstract":"<div><p>In this paper we study the initial boundary value problem for the nonlinear wave equation with combined power-type nonlinearities with variable coefficients. Existence and uniqueness of local weak solutions are proved. The global behavior of the solutions with non-positive and sub-critical energy is completely investigated. The threshold between global existence and finite time blow up is found. For super-critical energy, two new sufficient conditions guaranteeing blow up of the solutions for a finite time, are given. One of them is proved for an arbitrary sign of the scalar product of the initial data, while the other one is derived only for a positive sign.</p></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139713880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Weighted Hessian estimates in Orlicz spaces for nondivergence elliptic operators with certain potentials","authors":"Mikyoung Lee ,&nbsp;Yoonjung Lee","doi":"10.1016/j.na.2024.113501","DOIUrl":"https://doi.org/10.1016/j.na.2024.113501","url":null,"abstract":"<div><p>We prove interior weighted Hessian estimates in Orlicz spaces for nondivergence type elliptic equations with a lower order term which involves a nonnegative potential satisfying a reverse Hölder type condition.</p></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139719434","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}