Multiple positive solutions for quasilinear elliptic problems with sign-changing nonlinearities.
Fernández Bonder, Julián (2004)
Abstract and Applied Analysis
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Displaying similar documents to “Existence and nonexistence results for a class of quasilinear elliptic systems.”
Multiple positive solutions for quasilinear elliptic problems with sign-changing nonlinearities.
On quasilinear elliptic equations in .
Alves, C.O., Concalves, J.V., Maia, L.A. (1996)
Abstract and Applied Analysis
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Three solutions of a quasilinear elliptic problem near resonance
To Fu Ma, Luis Sanchez (1997)
Mathematica Slovaca
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On positive solutions of nonlinear elliptic equations involving concave and critical nonlinearities
J. Chabrowski, P. Drábek (2002)
Studia Mathematica
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We study the existence of nonnegative solutions of elliptic equations involving concave and critical Sobolev nonlinearities. Applying various variational principles we obtain the existence of at least two nonnegative solutions.
A finite-dimensional reduction method for slightly supercritical elliptic problems.
Molle, Riccardo, Passaseo, Donato (2004)
Abstract and Applied Analysis
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Positive solutions of critical quasilinear elliptic problems in general domains.
Gazzola, Filippo (1998)
Abstract and Applied Analysis
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On the existence of nontrivial solutions for a fourth-order semilinear elliptic problem.
Qian, Aixia, Li, Shujie (2005)
Abstract and Applied Analysis
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An elliptic problem with critical exponent and positive Hardy potential.
Chen, Shaowei, Li, Shujie (2004)
Abstract and Applied Analysis
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Genericity of the existence of infinitely many solutions for a class of semilinear elliptic equations in
Francesca Alessio, Paolo Caldiroli, Piero Montecchiari (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On some nonlinear elliptic systems with coercive perturbation in R.
Said El Manouni, Abdelfattah Touzani (2003)
Revista Matemática Complutense
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A nonlinear elliptic system involving the p-Laplacian is considered in the whole R. Existence of nontrivial solutions is obtained by applying critical point theory; also a regularity result is established.
Multiple solutions for nonlinear discontinuous elliptic problems near resonance
Nikolaos Kourogenis, Nikolaos Papageorgiou (1999)
Colloquium Mathematicae
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We consider a quasilinear elliptic eigenvalue problem with a discontinuous right hand side. To be able to have an existence theory, we pass to a multivalued problem (elliptic inclusion). Using a variational approach based on the critical point theory for locally Lipschitz functions, we show that we have at least three nontrivial solutions when from the left, being the principal eigenvalue of the p-Laplacian with the Dirichlet boundary conditions.