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March/April 2016 Existence and multiplicity of solutions for nonlocal Neumann problem with non-standard growth
Francisco Julio S.A. Corrêa, Augusto César dos Reis Costa
Differential Integral Equations 29(3/4): 377-400 (March/April 2016).

Abstract

In this paper, we are concerned with questions of existence of solution for a nonlocal and non-homogeneous Neumann boundary value problems involving the $p(x)$-Laplacian in which the non-linear terms have critical growth. The main tools we will use are the generalized Sobolev spaces and the Mountain Pass Theorem.

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Francisco Julio S.A. Corrêa. Augusto César dos Reis Costa. "Existence and multiplicity of solutions for nonlocal Neumann problem with non-standard growth." Differential Integral Equations 29 (3/4) 377 - 400, March/April 2016.

Information

Published: March/April 2016
First available in Project Euclid: 18 February 2016

zbMATH: 1374.35160
MathSciNet: MR3466171

Subjects:
Primary: 35J60, 35J70, 58E05

Rights: Copyright © 2016 Khayyam Publishing, Inc.

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Vol.29 • No. 3/4 • March/April 2016
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