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

^*Corresponding author

Faculty of Mathematical, Physical and Natural Sciences

Research output: Contribution to journal › Article › peer-review

5 Citations (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.

Original language	English
Pages (from-to)	605-640
Number of pages	36
Journal	Annali di Matematica Pura ed Applicata
Volume	197
Issue number	2
DOIs	https://doi.org/10.1007/s10231-017-0694-8
Publication status	Published - 2018

All Science Journal Classification (ASJC) codes

Applied Mathematics

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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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.",

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AU - CINGOLANI, SILVIA

AU - Degiovanni, Marco

AU - VANNELLA, GIUSEPPINA

PY - 2018

Y1 - 2018

N2 - 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.

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KW - functionals with lack of smoothness

KW - morse theory

KW - nontrivial solutions

KW - p-Laplace operator

KW - p-area functional

KW - critical groups

KW - functionals with lack of smoothness

KW - morse theory

KW - nontrivial solutions

KW - p-Laplace operator

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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