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Needle orientation for temporomandibular joint arthrocentesis in Koreans. 韩国人颞下颌关节关节腔穿刺术的针头方向。
IF 2 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-11-01 Epub Date: 2022-03-09 DOI: 10.1080/08869634.2022.2047509
Atapol Yongvikul, Jae-Young Kim, Jeong-Kui Ku, Joon-Ho Jung, Jong-Ki Huh
{"title":"Needle orientation for temporomandibular joint arthrocentesis in Koreans.","authors":"Atapol Yongvikul, Jae-Young Kim, Jeong-Kui Ku, Joon-Ho Jung, Jong-Ki Huh","doi":"10.1080/08869634.2022.2047509","DOIUrl":"10.1080/08869634.2022.2047509","url":null,"abstract":"<p><strong>Objective: </strong>To investigate the highest opportunity skin puncture point and needle orientation according to facial asymmetry and classification.</p><p><strong>Methods: </strong>Computed tomography of 136 patients was analyzed. Horizontal and vertical angles and distances from the canthal-tragal line were investigated to determine the puncture point and needle's angle.</p><p><strong>Result: </strong>All patients' average points were 7.39 (±2.85) mm anterior to the tragus and 3.44 (±4.18) mm below the canthal-tragal line with an angle of 8.53 (±6.90)° anteriorly and 32.26 (±7.23)° superiorly. Regarding asymmetry, there was a statistical difference in horizontal angle, depth, and canthal-tragal distance between the deviated and non-deviated sides. Especially, vertical distances were 4.44 (±4.66) mm and 2.59 (±4.11) mm in the deviated and non-deviated sides, respectively (<i>p</i> < 0.001).</p><p><strong>Conclusion: </strong>In closed-mouth, the puncture point was closer to the tragus and lower than the conventional point. The point in the deviated side should be considered lower than the non-deviated side.</p>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"51 1","pages":"711-717"},"PeriodicalIF":2.0,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73993630","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
Stable solutions to fractional semilinear equations: uniqueness, classification, and approximation results 分数半线性方程的稳定解：唯一性、分类和近似结果
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-09-17 DOI: 10.1007/s10231-024-01497-1
Tomás Sanz-Perela
{"title":"Stable solutions to fractional semilinear equations: uniqueness, classification, and approximation results","authors":"Tomás Sanz-Perela","doi":"10.1007/s10231-024-01497-1","DOIUrl":"https://doi.org/10.1007/s10231-024-01497-1","url":null,"abstract":"<p>We study stable solutions to fractional semilinear equations <span>((-Delta )^s u = f(u))</span> in <span>(Omega subset {mathbb {R}}^n)</span>, for convex nonlinearities <i>f</i>, and under the Dirichlet exterior condition <span>(u=g)</span> in <span>({mathbb {R}}^n {setminus } Omega)</span> with general <i>g</i>. We establish a uniqueness and a classification result, and we show that weak (energy) stable solutions can be approximated by a sequence of bounded (and hence regular) stable solutions to similar problems. As an application of our results, we establish the interior regularity of weak (energy) stable solutions to the problem for the half-Laplacian in dimensions <span>(1 leqslant n leqslant 4)</span>.</p>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142269742","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
Systems of differential operators in time-periodic Gelfand–Shilov spaces 时周期格尔方-希洛夫空间中的微分算子系统
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-09-13 DOI: 10.1007/s10231-024-01499-z
Fernando de Ávila Silva, Marco Cappiello, Alexandre Kirilov
{"title":"Systems of differential operators in time-periodic Gelfand–Shilov spaces","authors":"Fernando de Ávila Silva, Marco Cappiello, Alexandre Kirilov","doi":"10.1007/s10231-024-01499-z","DOIUrl":"https://doi.org/10.1007/s10231-024-01499-z","url":null,"abstract":"<p>This paper explores the global properties of time-independent systems of operators in the framework of time-periodic Gelfand–Shilov spaces. Our main results provide both necessary and sufficient conditions for global solvability and global hypoellipticity, based on analysis of the symbols of operators. We also present a class of time-dependent operators whose solvability and hypoellipticity are linked to the same properties of an associated time-independent system, albeit with a loss of regularity for temporal variables.</p>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"39 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142215145","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
Mutual estimates of time-frequency representations and uncertainty principles 时频表示的相互估计和不确定性原理
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-09-12 DOI: 10.1007/s10231-024-01500-9
Angela A. Albanese, Claudio Mele, Alessandro Oliaro
{"title":"Mutual estimates of time-frequency representations and uncertainty principles","authors":"Angela A. Albanese, Claudio Mele, Alessandro Oliaro","doi":"10.1007/s10231-024-01500-9","DOIUrl":"https://doi.org/10.1007/s10231-024-01500-9","url":null,"abstract":"<p>In this paper we give different estimates between Lebesgue norms of quadratic time-frequency representations. We show that, in some cases, it is not possible to have such bounds in classical <span>(L^p)</span> spaces, but the Lebesgue norm needs to be suitably weighted. This leads to consider weights of polynomial type, and, more generally, of ultradifferentiable type, and this, in turn, gives rise to use as functional setting the ultradifferentiable classes. As applications of such estimates we deduce uncertainty principles both of Donoho-Stark type and of local type for representations.</p>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"38 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142215144","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
Measure data systems with Orlicz growth 测量数据系统与 Orlicz 的增长
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-08-16 DOI: 10.1007/s10231-024-01489-1
Iwona Chlebicka, Yeonghun Youn, Anna Zatorska-Goldstein
{"title":"Measure data systems with Orlicz growth","authors":"Iwona Chlebicka,&nbsp;Yeonghun Youn,&nbsp;Anna Zatorska-Goldstein","doi":"10.1007/s10231-024-01489-1","DOIUrl":"10.1007/s10231-024-01489-1","url":null,"abstract":"<div><p>We study the existence of very weak solutions to a system </p><div><div><span>$$begin{aligned} {left{ begin{array}{ll}-{pmb {textsf{div}}}{{mathcal {A}}}(x,{D{pmb {textsf{u}}}})=pmb {mathsf {mu }}quad text {in } Omega , pmb {textsf{u}}=0quad text {on } partial Omega end{array}right. } end{aligned}$$</span></div></div><p>with a datum <span>({pmb {mathsf {mu }}})</span> being a vector-valued bounded Radon measure and <span>({{mathcal {A}}}:Omega times {{mathbb {R}}^{ntimes m}}rightarrow {{mathbb {R}}^{ntimes m}})</span> having measurable dependence on the spacial variable and Orlicz growth with respect to the second variable. We are <i>not</i> restricted to the superquadratic case. For the solutions and their gradients we provide regularity estimates in the generalized Marcinkiewicz scale. In addition, we show a precise sufficient condition for the solution to be a Sobolev function.\u0000</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 1","pages":"407 - 426"},"PeriodicalIF":1.0,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142215147","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
SYZ mirror symmetry of solvmanifolds 索曼菲尔德的 SYZ 镜像对称性
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-08-14 DOI: 10.1007/s10231-024-01487-3
Lucio Bedulli, Alessandro Vannini
{"title":"SYZ mirror symmetry of solvmanifolds","authors":"Lucio Bedulli,&nbsp;Alessandro Vannini","doi":"10.1007/s10231-024-01487-3","DOIUrl":"10.1007/s10231-024-01487-3","url":null,"abstract":"<div><p>We present an effective construction of non-Kähler supersymmetric mirror pairs in the sense of Lau, Tseng and Yau (Commun. Math. Phys. 340:145–170, 2015) starting from left-invariant affine structures on Lie groups. Applying this construction we explicitly find SYZ mirror symmetric partners of all known compact 6-dimensional completely solvable solvmanifolds that admit a semi-flat type IIA structure.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 1","pages":"359 - 385"},"PeriodicalIF":1.0,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01487-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142215146","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
Chern-kuiper’s inequalities Chern-kuiper 不等式
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-08-04 DOI: 10.1007/s10231-024-01492-6
Diego Guajardo
{"title":"Chern-kuiper’s inequalities","authors":"Diego Guajardo","doi":"10.1007/s10231-024-01492-6","DOIUrl":"https://doi.org/10.1007/s10231-024-01492-6","url":null,"abstract":"<p>Given a Euclidean submanifold <span>(g:M^{n}rightarrow {mathbb {R}}^{n+p})</span>, Chern and Kuiper provided inequalities between <span>(mu )</span> and <span>(nu _g)</span>, the ranks of the nullity of <span>(M^n)</span> and the relative nullity of <i>g</i> respectively. Namely, they prove that </p><span>$$begin{aligned} nu _gle mu le nu _g+p. end{aligned}$$</span>(1)<p>In this work, we study the submanifolds with <span>(nu _gne mu )</span>. More precisely, we characterize locally the ones with <span>(0ne (mu -nu _g)in {p,p-1,p-2})</span> under the hypothesis of <span>(nu _gle n-p-1)</span>.</p>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"16 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141929882","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
Moser–Trudinger inequalities: from local to global
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-07-30 DOI: 10.1007/s10231-024-01481-9
Luigi Fontana, Carlo Morpurgo, Liuyu Qin
{"title":"Moser–Trudinger inequalities: from local to global","authors":"Luigi Fontana,&nbsp;Carlo Morpurgo,&nbsp;Liuyu Qin","doi":"10.1007/s10231-024-01481-9","DOIUrl":"10.1007/s10231-024-01481-9","url":null,"abstract":"<div><p>Given a general complete Riemannian manifold <i>M</i>, we introduce the concept of “local Moser–Trudinger inequality on <span>(W^{1,n}(M))</span>”. We show how the validity of the Moser–Trudinger inequality can be extended from a local to a global scale under additional assumptions: either by assuming the validity of the Poincaré inequality, or by imposing a stronger norm condition. We apply these results to Hadamard manifolds. The technique is general enough to be applicable also in sub-Riemannian settings, such as the Heisenberg group.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 1","pages":"231 - 243"},"PeriodicalIF":1.0,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143422993","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
Inequalities for eigenvalues of the bi-drifting Laplacian on bounded domains in complete noncompact Riemannian manifolds and related results 完全非紧密黎曼流形有界域上的双漂移拉普拉奇特征值不等式及相关结果
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-07-26 DOI: 10.1007/s10231-024-01486-4
Yue He, Shiyun Pu
{"title":"Inequalities for eigenvalues of the bi-drifting Laplacian on bounded domains in complete noncompact Riemannian manifolds and related results","authors":"Yue He,&nbsp;Shiyun Pu","doi":"10.1007/s10231-024-01486-4","DOIUrl":"10.1007/s10231-024-01486-4","url":null,"abstract":"<div><p>In this paper, we investigate the universal inequalities for eigenvalues of the bi-drifting Laplacian on bounded domains in an <i>n</i>-dimensional complete noncompact simply connected Riemannian manifold with its sectional curvature satisfying certain pinching conditions, in a Gaussian shrinking soliton, and in a cigar metric measure space, respectively. By using some analytic inequalities and geometric inequalities, we establish some new universal inequalities which are different from those already present in the literature, such as Yanli Li and Feng Du’s [Arch Math (Basel) 109(6):591–598, 2017], Feng Du et al.’s [Z Angew Math Phys 66(3):703–726, (2015)] and Xinyang Li, Xin Xiong and Lingzhong Zeng’s [J Geom Phys 145:103472, (2019)].\u0000</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 1","pages":"327 - 358"},"PeriodicalIF":1.0,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141801810","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
Construction of semi-orthogonal wavelet frames on locally compact abelian groups 在局部紧凑无性群上构建半正交小波框架
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-07-21 DOI: 10.1007/s10231-024-01488-2
Satyapriya, Raj Kumar, Firdous A. Shah
{"title":"Construction of semi-orthogonal wavelet frames on locally compact abelian groups","authors":"Satyapriya,&nbsp;Raj Kumar,&nbsp;Firdous A. Shah","doi":"10.1007/s10231-024-01488-2","DOIUrl":"10.1007/s10231-024-01488-2","url":null,"abstract":"<div><p>Keeping in view the recent developments of wavelets on locally compact Abelian groups (LCA) along with the applicability of the unifying structure of LCA groups, we present an explicit and efficient method for the construction of wavelet frames of arbitrary dilations on LCA groups. The method is exhibited via several illustrative examples.\u0000</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 1","pages":"387 - 406"},"PeriodicalIF":1.0,"publicationDate":"2024-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141742594","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
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