A multiplicity theorem for parametric superlinear (p, q)-equations

Calogero Vetro, Florin-Iulian Onete, Nikolaos S. Papageorgiou

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Abstract

We consider a parametric nonlinear Robin problem driven by the sum of a p-Laplacian and of a q-Laplacian ((p, q)-equation). The reaction term is (p - 1)-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition. Using variational tools, together with truncation and comparison techniques and critical groups, we show that for all small values of the parameter, the problem has at least five nontrivial smooth solutions, all with sign information.
Lingua originaleEnglish
pagine (da-a)131-149
Numero di pagine19
RivistaOPUSCULA MATHEMATICA. ROCZNIK AKADEMIA GÓRNICZO-HUTNICZA IM. STANISłAWA STASZICA
Volume40
Stato di pubblicazionePublished - 2020

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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