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.
Recommended Citation
V. K. Le, "Existence of Nontrivial Solutions in Neumann Boundary Value Problems with Slow Principal Operators," Results in Mathematics, Birkhäuser Verlag, Aug 2008.
The definitive version is available at https://doi.org/10.1007/s00025-008-0291-7
Department(s)
Mathematics and Statistics
Keywords and Phrases
Neumann boundary condition; Orlicz-Sobolev space; Variational inequality
International Standard Serial Number (ISSN)
1422-6383
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2008 Birkhäuser Verlag, All rights reserved.
Publication Date
01 Aug 2008
