Analysis and Mathematical Physics最新文献_第5页

Two solutions for fractional Schrödinger-Poisson system involving a degenerate Kirchhoff term 涉及简并Kirchhoff项的分数阶Schrödinger-Poisson系统的两个解

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2025-06-21 DOI: 10.1007/s13324-025-01094-2

Conghui Shi, Lifeng Guo, Binlin Zhang

{"title":"Two solutions for fractional Schrödinger-Poisson system involving a degenerate Kirchhoff term","authors":"Conghui Shi, Lifeng Guo, Binlin Zhang","doi":"10.1007/s13324-025-01094-2","DOIUrl":"10.1007/s13324-025-01094-2","url":null,"abstract":"<div>In this paper, we investigate the multiplicity of solutions for the following nonlinear fractional Schrödinger-Poisson system of Kirchhoff type: <div><div>$$begin{aligned} left{ begin{array}{ll} [u]_{s}^{2(theta -1)}(-Delta )^{s}u+ phi (x)u = f(x)|u|^{r-2}u + lambda frac{|u|^{q - 2} u}{|x|^{alpha }}, & text {in} ,,Omega , (-Delta )^{t} phi = u^2, & text {in} ,,Omega , u=phi =0, & text {in} ~mathbb {R}^{N} backslash Omega , end{array} right. end{aligned}$$</div></div>where (s, tin (0,1)), (Omega subset mathbb {R}^N) is a smooth bounded domain containing 0 with Lipschitz boundary, (left( -Delta right) ^{gamma }) ((gamma =s,t)) is the fractional Laplace operator, (lambda ) is a positive parameter, (0le alpha<2s<N), (2<r<2theta<4<q<2_{alpha }^{*}) and (f(x)in L^{frac{2_alpha ^*}{2_alpha ^*-r}}(Omega )) is positive almost everywhere in ({Omega }). By using variational methods, we get over some tricky difficulties stemming from degenerate feature of Kirchhoff term. As a result, by employing the Nehari manifold method, under some certain conditions, we prove that the above system has at least two distinct positive solutions for (lambda ) small.</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168168","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Optimal constants of smoothing estimates for the 3D Dirac equation 三维Dirac方程平滑估计的最优常数

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2025-06-17 DOI: 10.1007/s13324-025-01083-5

Makoto Ikoma, Soichiro Suzuki

引用次数: 0

A strengthened Kadison’s transitivity theorem for unital JB(^*)-algebras with applications to the Mazur–Ulam property 一元JB (^*) -代数的强化Kadison传递定理及其在Mazur-Ulam性质上的应用

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2025-06-17 DOI: 10.1007/s13324-025-01068-4

Antonio M. Peralta, Radovan Švarc

{"title":"A strengthened Kadison’s transitivity theorem for unital JB(^*)-algebras with applications to the Mazur–Ulam property","authors":"Antonio M. Peralta, Radovan Švarc","doi":"10.1007/s13324-025-01068-4","DOIUrl":"10.1007/s13324-025-01068-4","url":null,"abstract":"<div>The principal result in this note is a strengthened version of Kadison’s transitivity theorem for unital JB(^*)-algebras, showing that for each minimal tripotent e in the bidual, ({mathfrak {A}}^{**}), of a unital JB(^*)-algebra ({mathfrak {A}}), there exists a self-adjoint element h in ({mathfrak {A}}) satisfying (ele exp (ih)), that is, e is bounded by a unitary in the principal connected component of the unitary elements in ({mathfrak {A}}). This new result opens the way to attack new geometric results, for example, a Russo–Dye type theorem for maximal norm closed proper faces of the closed unit ball of ({mathfrak {A}}) asserting that each such face F of ({mathfrak {A}}) coincides with the norm closed convex hull of the unitaries of ({mathfrak {A}}) which lie in F. Another geometric property derived from our results proves that every surjective isometry from the unit sphere of a unital JB(^*)-algebra ({mathfrak {A}}) onto the unit sphere of any other Banach space is affine on every maximal proper face. As a final application we show that every unital JB(^*)-algebra ({mathfrak {A}}) satisfies the Mazur–Ulam property, that is, every surjective isometry from the unit sphere of ({mathfrak {A}}) onto the unit sphere of any other Banach space Y admits an extension to a surjective real linear isometry from ({mathfrak {A}}) onto Y. This extends a contribution by M. Mori and N. Ozawa who have proved the same result for unital C(^*)-algebras.</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-025-01068-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Normality relationships between two function families and their applications 两个函数族及其应用之间的正态关系

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2025-06-17 DOI: 10.1007/s13324-025-01092-4

Fei Li, Jianming Chang, Yan Xu

引用次数: 0

Equidistant versus bipartite ground states for 1D classical fluids at fixed particle density 一维经典流体在固定粒子密度下的等距基态与二部基态

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2025-06-04 DOI: 10.1007/s13324-025-01076-4

Laurent Bétermin, Ladislav Šamaj, Igor Travěnec

{"title":"Equidistant versus bipartite ground states for 1D classical fluids at fixed particle density","authors":"Laurent Bétermin, Ladislav Šamaj, Igor Travěnec","doi":"10.1007/s13324-025-01076-4","DOIUrl":"10.1007/s13324-025-01076-4","url":null,"abstract":"<div>We study the ground-state properties of one-dimensional fluids of classical (i.e., non-quantum) particles interacting pairwisely via a potential, at the fixed particle density (rho ). Restricting ourselves to periodic configurations of particles, two possibilities are considered: an equidistant chain of particles with the uniform spacing (A=1/rho ) and its simplest non-Bravais modulation, namely a bipartite lattice composed of two equidistant chains, shifted with respect to one another. Assuming the long range of the interaction potential, the equidistant chain dominates if A is small enough, (0<A<A_c). At a critical value of (A=A_c), the system undergoes a continuous second-order phase transition from the equidistant chain to a bipartite lattice. The energy and the order parameter are singular functions of the deviation from the critical point (A-A_c) with universal (i.e., independent of the model’s parameters) mean-field values of critical exponents. The tricritical point at which the curve of continuous second-order transitions meets with the one of discontinuous first-order transitions is determined. The general theory is applied to the Lennard-Jones model with the (n, m) Mie potential for which the phase diagram is constructed. The inclusion of a hard-core around each particle reveals a non-universal critical phenomenon with an m-dependent critical exponent.</div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-025-01076-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Criteria for Multilinear Sobolev Inequality with Non-doubling Measure in Lorentz Spaces Lorentz空间中非加倍测度的多线性Sobolev不等式的判据

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2025-06-03 DOI: 10.1007/s13324-025-01090-6

Alexander Meskhi, Lazare Natelashvili

引用次数: 0

Homogenization of parabolic problems for non-local convolution type operators under non-diffusive scaling of coefficients 系数非扩散标度下非局部卷积型算子抛物型问题的均匀化

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2025-05-30 DOI: 10.1007/s13324-025-01089-z

A. Piatnitski, E. Zhizhina

引用次数: 0

A Schrödinger operator with confining potential having quadratic growth 具有二次增长限制势的Schrödinger算子

IF 1.6 3区数学

Analysis and Mathematical Physics Pub Date : 2025-05-27 DOI: 10.1007/s13324-025-01063-9

Chiara Alessi, Lorenzo Brasco, Michele Miranda

引用次数: 0

On almost periodic solutions of the parabolic-elliptic Keller-Segel system on real hyperbolic manifold 实数双曲流形上抛物-椭圆Keller-Segel系统的概周期解

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2025-05-22 DOI: 10.1007/s13324-025-01073-7

Tran Van Thuy

引用次数: 0

Compactness of commutators in Morrey spaces Morrey空间中换向子的紧性

IF 1.4 3区数学

Analysis and Mathematical Physics Pub Date : 2025-05-22 DOI: 10.1007/s13324-025-01072-8

Denny Ivanal Hakim, Yoshihiro Sawano, Daiki Takesako

引用次数: 0