Multiple Solutions with Sign Information for a Class of Coercive (p, 2)-Equations

Calogero Vetro, Francesca Vetro, Nikolaos S. Papageorgiou

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1 Citazioni (Scopus)

Abstract

We consider a nonlinear Dirichlet equation driven by the sum of a p-Laplacian and of a Laplacian (a (p, 2)-equation). The hypotheses on the reaction f(z, x) are minimal and make the energy (Euler) functional of the problem coercive. We prove two multiplicity theorems producing three and four nontrivial smooth solutions, respectively, all with sign information. We apply our multiplicity results to the particular case of a class of parametric (p, 2)-equations.
Lingua originaleEnglish
pagine (da-a)2343-2371
Numero di pagine29
RivistaBULLETIN OF THE MALAYSIAN MATHEMATICAL SOCIETY
Volume43
Stato di pubblicazionePublished - 2020

All Science Journal Classification (ASJC) codes

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