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

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