Sign changing solutions for quasilinear superlinear elliptic problems

Results on existence and multiplicity of solutions for a nonlinear elliptic problem driven by the \(\Phi\)-Laplace operator are established. We employ minimization arguments on suitable Nehari manifolds to build a negative and a positive ground state solutions. In order to find a nodal solution we e...

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Bibliographic Details
Published in:arXiv.org 2016-10
Main Authors: Silva, E D, Carvalho, M L M, F J S A Corrêa, Goncalves, Jose V A
Format: Article
Language:English
Subjects:
Deformation
Online Access:Get full text
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Summary:Results on existence and multiplicity of solutions for a nonlinear elliptic problem driven by the \(\Phi\)-Laplace operator are established. We employ minimization arguments on suitable Nehari manifolds to build a negative and a positive ground state solutions. In order to find a nodal solution we employ additionally the well known Deformation Lemma and Topological Degree Theory.
ISSN:2331-8422