Nonlocal Neumann Problem with Critical Exponent from the Point of View of the Trace

被引：2

作者：

Corrêa F.J.S.A. ^{[1
]}

Costa A.C.D.R. ^{[2
]}

机构：

[1] Unidade Acadêmica de Matemática, Universidade Federal de Campina Grande, Centro de Ciências e Tecnologia, CEP:58.109-970, Campina Grande, PB

[2] Faculdade de Matemática, Universidade Federal do Pará, Instituto de Ciências Exatas e Naturais, CEP:66.075-110, Belém, PA

来源：

Journal of Elliptic and Parabolic Equations | 2016年 / 2卷 / 1-2期

关键词：

critical exponent; genus; Neumann boundary conditions; nonlocal problem; Primary: 35J60; Secondary:; 58E05; 35J70; Sobolev spaces with variable exponent; trace;

D O I：

10.1007/BF03377407

中图分类号：

学科分类号：

摘要：

In this work, we are concerned with questions of existence and multiplicity of solutions for a nonlocal and non-homogeneous Neumann boundary value problems involving the p(x)-Laplace operator and critical growth, from the point of view of the trace, via a truncation argument on generalized Lebesgue-Sobolev spaces. © 2016, Orthogonal Publishing and Springer International Publishing.

引用

页码：323 / 339

页数：16

共 50 条

[21] Existence and multiplicity of solutions for a nonlocal problem with critical Sobolev exponent
Liao, Jia-Feng
Li, Hong-Ying
Zhang, Peng
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (03) : 787 - 797
[22] MULTIPLE POSITIVE SOLUTIONS FOR A NONLOCAL PROBLEM INVOLVING CRITICAL EXPONENT
Wang, Yue
Suo, Hong-Min
Lei, Chun-Yu
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[23] On a nonlocal nonhomogeneous Neumann boundary problem with two critical exponents
Costa, A. C. R.
Ferreira, M. C.
Tavares, L. S.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019, 64 (11) : 1954 - 1972
[24] On multiple solutions of the exterior neumann problem involving critical sobolev exponent
Chabrowski, J
Willem, M
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2005, 26 (01) : 89 - 108
[25] Multiple solutions for a nonlinear Neumann problem involving a critical Sobolev exponent
Chabrowski, Jan
NOTE DI MATEMATICA, 2008, 28 (01): : 15 - 28
[26] POSITIVE SOLUTIONS FOR A NONLOCAL PROBLEM WITH CRITICAL SOBOLEV EXPONENT IN HIGHER DIMENSIONS
Qian, Xiaotao
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (05): : 2033 - 2042
[27] Multiplicity of positive solutions for a class of nonlocal problem involving critical exponent
Qian, Xiaotao
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021, (57) : 1 - 14
[28] A nonlocal supercritical Neumann problem
Cinti, Eleonora
Colasuonno, Francesca
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 268 (05) : 2246 - 2279
[29] Nonlocal critical exponent singular problems under mixed Dirichlet-Neumann boundary conditions
Mukherjee, Tuhina
Pucci, Patrizia
Sharma, Lovelesh
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 531 (02)
[30] Nonexistence of positive radial solutions of a quasilinear neumann problem with a critical Sobolev exponent
Adimurthi
Yadava, SL
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1997, 139 (03) : 239 - 253

← 1 2 3 4 5 →