Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents
Elves A. B. Silva, Magda S Xavier (2003)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “On multiple solutions for nonhomogeneous system of elliptic equations.”
Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents
Asymptotics for quasilinear equations with nearly critical growth.
Marhrani El-Miloudi, Alain Brillard (1997)
Extracta Mathematicae
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An existence result for nonlinear elliptic problems involving critical Sobolev exponent
A. Capozzi, D. Fortunato, G. Palmieri (1985)
Annales de l'I.H.P. Analyse non linéaire
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Some variational theorems of mixed type and elliptic problems with jumping nonlinearities
Antonio Marino, Claudio Saccon (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Critical points and nonlinear variational problems
Antonio Ambrosetti (1992)
Mémoires de la Société Mathématique de France
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A Dirichlet problem with asymptotically linear and changing sign nonlinearity.
Marcello Lucia, Paola Magrone, Huan-Song Zhou (2003)
Revista Matemática Complutense
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This paper deals with the problem of finding positive solutions to the equation -∆[u] = g(x,u) on a bounded domain 'Omega' with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour. The solutions are found using the Mountain Pass Theorem.
Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities
Nikolaos Papageorgiou, Francesca Papalini (2000)
Annales Polonici Mathematici
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We study eigenvalue problems with discontinuous terms. In particular we consider two problems: a nonlinear problem and a semilinear problem for elliptic equations. In order to study the existence of solutions we replace these two problems with their multivalued approximations and, for the first problem, we estabilish an existence result while for the second problem we prove the existence of multiple nontrivial solutions. The approach used is variational.