(p, 2)-Equations with a Crossing Nonlinearity and Concave Terms

Calogero Vetro, Nikolaos S. Papageorgiou

Risultato della ricerca: Articlepeer review

5 Citazioni (Scopus)


We consider a parametric Dirichlet problem driven by the sum of a p-Laplacian (p> 2) and a Laplacian (a (p, 2)-equation). The reaction consists of an asymmetric (p- 1) -linear term which is resonant as x→ - ∞, plus a concave term. However, in this case the concave term enters with a negative sign. Using variational tools together with suitable truncation techniques and Morse theory (critical groups), we show that when the parameter is small the problem has at least three nontrivial smooth solutions.
Lingua originaleEnglish
pagine (da-a)221-251
Numero di pagine31
RivistaApplied Mathematics and Optimization
Stato di pubblicazionePublished - 2020

All Science Journal Classification (ASJC) codes

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