We study a parametric nonlinear periodic problem driven by the scalar p-Laplacian. We show that if lambda^1 > 0 is the first eigenvalue of the periodicscalar p-Laplacian and lambda>lambda^1, then the problem has at least three nontrivial solutions one positive, one negative and the third nodal. Our approach is variational together with suitable truncation, perturbation and comparisontechniques.

A nonlinear eigenvalue problem for the periodic scalar p-Laplacian

BARLETTA, Giuseppina
;
2014

Abstract

We study a parametric nonlinear periodic problem driven by the scalar p-Laplacian. We show that if lambda^1 > 0 is the first eigenvalue of the periodicscalar p-Laplacian and lambda>lambda^1, then the problem has at least three nontrivial solutions one positive, one negative and the third nodal. Our approach is variational together with suitable truncation, perturbation and comparisontechniques.
Constant sign and nodal solutions; parametric equation; extremal solutions
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12318/8023
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