Quasilinear elliptic problems under strong resonance conditions

In this paper we establish the existence and multiplicity of solutions for a quasilinear elliptic problem under strong resonance conditions at infinity. In order to control the resonance we consider a new hypothesis on the nonlinear term. In all results we use Variational Methods, Critical Groups an...

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Bibliographic Details
Published in:Nonlinear analysis 2010-10, Vol.73 (8), p.2451-2462
Main Author: da Silva, Edcarlos D.
Format: Article
Language:English
Subjects:
Calculus of variations and optimal control
Exact sciences and technology
Global analysis, analysis on manifolds
Infinity
Mathematical analysis
Mathematics
Maximum principle
Morse theory
Nonlinearity
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming, optimization and calculus of variations
Numerical methods in optimization and calculus of variations
Partial differential equations
Quasilinear elliptic equation
Sciences and techniques of general use
Strong resonance
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Variational methods
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Summary:In this paper we establish the existence and multiplicity of solutions for a quasilinear elliptic problem under strong resonance conditions at infinity. In order to control the resonance we consider a new hypothesis on the nonlinear term. In all results we use Variational Methods, Critical Groups and the Morse Theory.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2010.06.018