Multiple solutions with sign information for a (p,2)-equation with combined nonlinearities

Calogero Vetro, Francesca Vetro, Nikolaos S. Papageorgiou

Risultato della ricerca: Articlepeer review

10 Citazioni (Scopus)


We consider a parametric nonlinear Dirichlet problem driven by the sum of a p-Laplacian and of a Laplacian (a (p,2)-equation) and with a reaction which has the competing effects of two distinct nonlinearities. A parametric term which is (p−1)-superlinear (convex term) and a perturbation which is (p−1)-sublinear (concave term). First we show that for all small values of the parameter the problem has at least five nontrivial smooth solutions, all with sign information. Then by strengthening the regularity of the two nonlinearities we produce two more nodal solutions, for a total of seven nontrivial smooth solutions all with sign informations. Our proofs use critical point theory, critical groups and flow invariance arguments.
Lingua originaleEnglish
pagine (da-a)1-25
Numero di pagine25
Stato di pubblicazionePublished - 2020

All Science Journal Classification (ASJC) codes

  • ???subjectarea.asjc.2600.2603???
  • ???subjectarea.asjc.2600.2604???


Entra nei temi di ricerca di 'Multiple solutions with sign information for a (p,2)-equation with combined nonlinearities'. Insieme formano una fingerprint unica.

Cita questo