On Strongly Nonlinear Eigenvalue Problems in the Framework of Nonreflexive Orlicz-Sobolev Spaces

It is established existence and multiplicity of solutions for strongly nonlinear problems driven by the \(\Phi\)-Laplacian operator on bounded domains. Our main results are stated without the so called \(\Delta_{2}\) condition at infinity which means that the underlying Orlicz-Sobolev spaces are not...

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Bibliographic Details
Published in:arXiv.org 2016-10
Main Authors: Silva, Edcarlos D, Goncalves, Jose V A, Silva, Kaye O
Format: Article
Language:English
Subjects:
Eigenvalues
Eulers equations
Sobolev space
Online Access:Get full text
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Summary:It is established existence and multiplicity of solutions for strongly nonlinear problems driven by the \(\Phi\)-Laplacian operator on bounded domains. Our main results are stated without the so called \(\Delta_{2}\) condition at infinity which means that the underlying Orlicz-Sobolev spaces are not reflexive.
ISSN:2331-8422