Amann-Zehnder type results for p-Laplace problems

SILVIA CINGOLANI; Marco Degiovanni; GIUSEPPINA VANNELLA

doi:10.1007/s10231-017-0694-8

Amann-Zehnder type results for p-Laplace problems

SILVIA CINGOLANI
, Marco Degiovanni^*
, GIUSEPPINA VANNELLA

^*Autore corrispondente per questo lavoro

Facoltà di Scienze Matematiche, Fisiche e Naturali

Risultato della ricerca: Contributo in rivista › Articolo › peer 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 originale	Inglese
pagine (da-a)	605-640
Numero di pagine	36
Rivista	Annali di Matematica Pura ed Applicata
Volume	197
Numero di pubblicazione	2
DOI	https://doi.org/10.1007/s10231-017-0694-8
Stato di pubblicazione	Pubblicato - 2018

All Science Journal Classification (ASJC) codes

Matematica Applicata

Keywords

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

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10.1007/s10231-017-0694-8

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KW - nontrivial solutions

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KW - functionals with lack of smoothness

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KW - p-area functional

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Amann-Zehnder type results for p-Laplace problems

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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