Title

Existence of Nontrivial Solutions in Neumann Boundary Value Problems with Slow Principal Operators

Abstract

This paper is about the existence of nontrivial solutions of the Neumann boundary value problem{−div(a(|∇u|)∇u)=g(x,u)inΩ∂u/∂v=0on∂Ω, when the principal term has slow growth. Existence results of saddle points are based on recession arguments and variants of the Mountain Pass Theorem without Palais-Smale or Cerami condition in Orlicz-Sobolev spaces. Nontrivial solutions as global minimizers are also considered.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Neumann boundary condition; Orlicz-Sobolev space; Variational inequality

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2008 Birkhäuser Verlag, All rights reserved.


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