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Communications in Contemporary Mathematics最新文献

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Existence of Heteroclinic and Saddle type solutions for a class of quasilinear problems in whole ℝ2 一类拟线性问题的鞍型解和异斜解的存在性
IF 1.6 2区 数学
Communications in Contemporary Mathematics Pub Date : 2022-08-18 DOI: 10.1142/s0219199722500614
C. O. Alves, Renan J. S. Isneri, P. Montecchiari
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引用次数: 0
A blow-up formula for stationary Dirac-harmonic maps 平稳Dirac调和映射的爆破公式
IF 1.6 2区 数学
Communications in Contemporary Mathematics Pub Date : 2022-08-18 DOI: 10.1142/s0219199722500523
Jiayu Li, Chaona Zhu, Miaomiao Zhu
{"title":"A blow-up formula for stationary Dirac-harmonic maps","authors":"Jiayu Li, Chaona Zhu, Miaomiao Zhu","doi":"10.1142/s0219199722500523","DOIUrl":"https://doi.org/10.1142/s0219199722500523","url":null,"abstract":"","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45504772","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}
引用次数: 0
Multiple positive and sign-changing solutions for a class of kirchhoff equations 一类kirchhoff方程的多重正变符号解
IF 1.6 2区 数学
Communications in Contemporary Mathematics Pub Date : 2022-08-18 DOI: 10.1142/s0219199722500602
Benniao Li, W. Long, Aliang Xia
{"title":"Multiple positive and sign-changing solutions for a class of kirchhoff equations","authors":"Benniao Li, W. Long, Aliang Xia","doi":"10.1142/s0219199722500602","DOIUrl":"https://doi.org/10.1142/s0219199722500602","url":null,"abstract":"","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44640992","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}
引用次数: 0
Behavior of the poincare constant along the polchinski renormalization flow 庞加莱常数沿波钦斯基重整化流的行为
IF 1.6 2区 数学
Communications in Contemporary Mathematics Pub Date : 2022-08-17 DOI: 10.1142/s0219199723500359
Jordan Serres
{"title":"Behavior of the poincare constant along the polchinski renormalization flow","authors":"Jordan Serres","doi":"10.1142/s0219199723500359","DOIUrl":"https://doi.org/10.1142/s0219199723500359","url":null,"abstract":"We control the behavior of the Poincar{'e} constant along the Polchinski renormalization flow using a dynamic version of $Gamma$-calculus. We also treat the case of higher order eigenvalues. Our method generalizes a method introduced by B. Klartag and E. Putterman to analyze the evolution of log-concave distributions along the heat flow. Furthermore, we apply it to general $Phi$ 4-measures and discuss the interpretation in terms of transport maps.","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45526630","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}
引用次数: 2
Blowup and ILL-Posedness for the Complex, Periodic KDV Equation 复周期KDV方程的爆破性和病态性
IF 1.6 2区 数学
Communications in Contemporary Mathematics Pub Date : 2022-07-20 DOI: 10.1142/s0219199722500444
J. Bona, F. Weissler
{"title":"Blowup and ILL-Posedness for the Complex, Periodic KDV Equation","authors":"J. Bona, F. Weissler","doi":"10.1142/s0219199722500444","DOIUrl":"https://doi.org/10.1142/s0219199722500444","url":null,"abstract":"","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44899448","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}
引用次数: 0
A steklov version of the torsional rigidity 扭转刚度的斯特克洛夫版本
IF 1.6 2区 数学
Communications in Contemporary Mathematics Pub Date : 2022-07-11 DOI: 10.1142/s0219199723500372
L. Brasco, Mar'ia de Mar Gonz'alez, M. Ispizua
{"title":"A steklov version of the torsional rigidity","authors":"L. Brasco, Mar'ia de Mar Gonz'alez, M. Ispizua","doi":"10.1142/s0219199723500372","DOIUrl":"https://doi.org/10.1142/s0219199723500372","url":null,"abstract":"Motivated by the connection between the first eigenvalue of the Dirichlet-Laplacian and the torsional rigidity, the aim of this paper is to find a physically coherent and mathematically interesting new concept for boundary torsional rigidity, closely related to the Steklov eigenvalue. From a variational point of view, such a new object corresponds to the sharp constant for the trace embedding of $W^{1,2}(Omega)$ into $L^1(partialOmega)$. We obtain various equivalent variational formulations, present some properties of the state function and obtain some sharp geometric estimates, both for planar simply connected sets and for convex sets in any dimension.","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43596438","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}
引用次数: 2
Parameter-dependent multiplicity results of sign-changing solutions for quasilinear elliptic equations 拟线性椭圆方程变符号解的参数相关多重性结果
IF 1.6 2区 数学
Communications in Contemporary Mathematics Pub Date : 2022-06-10 DOI: 10.1142/s0219199722500390
Yongtao Jing, Zhaoli Liu, Zhi-Qiang Wang
{"title":"Parameter-dependent multiplicity results of sign-changing solutions for quasilinear elliptic equations","authors":"Yongtao Jing, Zhaoli Liu, Zhi-Qiang Wang","doi":"10.1142/s0219199722500390","DOIUrl":"https://doi.org/10.1142/s0219199722500390","url":null,"abstract":"","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47589561","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}
引用次数: 1
Infinite families of homogeneous bismut ricci flat manifolds 齐次双利基平面流形的无穷族
IF 1.6 2区 数学
Communications in Contemporary Mathematics Pub Date : 2022-05-25 DOI: 10.1142/S0219199722500754
F. Podestà, Alberto Raffero
{"title":"Infinite families of homogeneous bismut ricci flat manifolds","authors":"F. Podestà, Alberto Raffero","doi":"10.1142/S0219199722500754","DOIUrl":"https://doi.org/10.1142/S0219199722500754","url":null,"abstract":". Starting from compact symmetric spaces of inner type, we provide infinite families of compact homogeneous spaces carrying invariant non-flat Bismut connections with vanishing Ricci tensor. These examples turn out to be generalized symmetric spaces of order 4 and (up to coverings) can be realized as minimal submanifolds of the Bismut flat model spaces, namely compact Lie groups. This construction generalizes the standard Cartan embedding of symmetric spaces.","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64399644","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}
引用次数: 5
On the exterior Dirichlet problem for Hessian type fully nonlinear elliptic equations Hessian型全非线性椭圆方程的外狄利克雷问题
IF 1.6 2区 数学
Communications in Contemporary Mathematics Pub Date : 2022-05-17 DOI: 10.1142/S0219199722500821
Xiaoliang Li, Cong Wang
{"title":"On the exterior Dirichlet problem for Hessian type fully nonlinear elliptic equations","authors":"Xiaoliang Li, Cong Wang","doi":"10.1142/S0219199722500821","DOIUrl":"https://doi.org/10.1142/S0219199722500821","url":null,"abstract":". We treat the exterior Dirichlet problem for a class of fully nonlinear elliptic equations of the form f ( λ ( D 2 u )) = g ( x ) , with prescribed asymptotic behavior at infinity. The equations of this type had been studied extensively by Caffarelli–Nirenberg–Spruck [8], Trudinger [35] and many others, and there had been significant discussions on the solv- ability of the classical Dirichlet problem via the continuity method, under the assumption that f is a concave function. In this paper, based on the Perron’s method, we establish an exterior existence and uniqueness result for viscosity solutions of the equations, by assuming f to satisfy certain structure condi- tions as in [8, 35] but without requiring the concavity of f . The equations in our setting may embrace the well-known Monge–Amp`ere equations, Hessian equations and Hessian quotient equations as special cases.","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48193946","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}
引用次数: 1
Bifurcation into spectral gaps for strongly indefinite Choquard equations 强不定Choquard方程的谱间隙分岔
IF 1.6 2区 数学
Communications in Contemporary Mathematics Pub Date : 2022-05-05 DOI: 10.1142/s0219199723500013
Huxiao Luo, B. Ruf, C. Tarsi
{"title":"Bifurcation into spectral gaps for strongly indefinite Choquard equations","authors":"Huxiao Luo, B. Ruf, C. Tarsi","doi":"10.1142/s0219199723500013","DOIUrl":"https://doi.org/10.1142/s0219199723500013","url":null,"abstract":": We consider the semilinear elliptic equations where I α is a Riesz potential, p ∈ ( N + αN , N + α N − 2 ), N ≥ 3, and V is continuous periodic. We assume that 0 lies in the spectral gap ( a, b ) of − ∆ + V . We prove the existence of infinitely many geometrically distinct solutions in H 1 ( R N ) for each λ ∈ ( a, b ), which bifurcate from b if N + αN < p < 1 + 2+ αN . Moreover, b is the unique gap-bifurcation point (from zero) in [ a, b ]. When λ = a , we find infinitely many geometrically distinct solutions in H 2 loc ( R N ). Final remarks are given about the eventual occurrence of a bifurcation from infinity in λ = a . 35Q55, 47J35.","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":" ","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44658255","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}
引用次数: 3
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