Amann-Zehnder type results for p-Laplace problems

Marco Degiovanni, Silvia Cingolani, Giuseppina Vannella

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

5 Citazioni (Scopus)

Abstract

The existence of a nontrivial solution is proved for a class of quasilinear elliptic equations involving, as principal part, either the p-Laplace operator or the operator related to the p-area functional, and a nonlinearity with p-linear growth at infinity. To this aim, Morse theory techniques are combined with critical groups estimates.
Lingua originaleEnglish
pagine (da-a)605-640
Numero di pagine36
RivistaAnnali di Matematica Pura ed Applicata
Volume197
DOI
Stato di pubblicazionePubblicato - 2018

Keywords

  • p-Laplace operator, p-area functional, nontrivial solutions, morse theory, critical groups, functionals with lack of smoothness

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