The homogeneous Dirichlet problem for an elliptic equation with p-Laplacian and concave-convex reaction term depending on a positive parameter is investigated. At least five nontrivial solutions for all sufficiently small values of the parameter are obtained via variational methods, truncation techniques and sub- super-solution arguments. The special case p=2 is also examined.

Multiple solutions to A Dirichlet problem with p-Laplacian and nonlinearity depending ona parameter

MARANO, Salvatore Angelo
;
2012

Abstract

The homogeneous Dirichlet problem for an elliptic equation with p-Laplacian and concave-convex reaction term depending on a positive parameter is investigated. At least five nontrivial solutions for all sufficiently small values of the parameter are obtained via variational methods, truncation techniques and sub- super-solution arguments. The special case p=2 is also examined.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/10837
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