In this paper we look for weak solutions of a quasilinear elliptic model problem with Dirichlet boundary conditions on a bounded domain. We prove that under suitable assumptions infinitely many solutions exist in spite of the lack of symmetry. A suitable supercritical growth is allowed for the nonlinear term. We use a variant of the variational perturbation techniques introduced by Rabinowitz but by means of a weak version of the Cerami-Palais-Smale condition.

Infinitely many solutions for quasilinear elliptic equations with lack of symmetry

A. M. Candela
;
G. Palmieri;A. Salvatore
2018-01-01

Abstract

In this paper we look for weak solutions of a quasilinear elliptic model problem with Dirichlet boundary conditions on a bounded domain. We prove that under suitable assumptions infinitely many solutions exist in spite of the lack of symmetry. A suitable supercritical growth is allowed for the nonlinear term. We use a variant of the variational perturbation techniques introduced by Rabinowitz but by means of a weak version of the Cerami-Palais-Smale condition.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/206608
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