Nontrivial solutions of p-superlinear p-Laplacian problems via a cohomological local splitting

Marco Degiovanni; Sergio Lancelotti; Kanishka Perera

doi:10.1142/S0219199710003890

Nontrivial solutions of p-superlinear p-Laplacian problems via a cohomological local splitting

Marco Degiovanni^*
, Sergio Lancelotti
, Kanishka Perera

^*Autore corrispondente per questo lavoro

Facoltà di Scienze Matematiche, Fisiche e Naturali

Polytechnic University of Turin
Florida Institute of Technology

Risultato della ricerca: Contributo in rivista › Articolo › peer review

10 Citazioni (Scopus)

Abstract

We consider a quasilinear equation, involving the p-Laplace operator, with a p-superlinear nonlinearity.\r\nWe prove the existence of a nontrivial solution, also when there is no mountain pass geometry, without imposing a global sign condition. Techniques of Morse theory are employed.

Lingua originale	Inglese
pagine (da-a)	475-486
Numero di pagine	12
Rivista	Communications in Contemporary Mathematics
Volume	12
Numero di pubblicazione	3
DOI	https://doi.org/10.1142/S0219199710003890
Stato di pubblicazione	Pubblicato - 2010

All Science Journal Classification (ASJC) codes

Matematica generale
Matematica Applicata

Keywords

Critical point theory
Differential equations
Equazioni differenziali
Teoria dei punti critici

Accesso al documento

10.1142/S0219199710003890

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abstract = "We consider a quasilinear equation, involving the p-Laplace operator, with a p-superlinear nonlinearity.\textbackslash{}r\textbackslash{}nWe prove the existence of a nontrivial solution, also when there is no mountain pass geometry, without imposing a global sign condition. Techniques of Morse theory are employed.",

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AB - We consider a quasilinear equation, involving the p-Laplace operator, with a p-superlinear nonlinearity.\r\nWe prove the existence of a nontrivial solution, also when there is no mountain pass geometry, without imposing a global sign condition. Techniques of Morse theory are employed.

KW - Critical point theory

KW - Differential equations

KW - Equazioni differenziali

KW - Teoria dei punti critici

KW - Critical point theory

KW - Differential equations

KW - Equazioni differenziali

KW - Teoria dei punti critici

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Nontrivial solutions of p-superlinear p-Laplacian problems via a cohomological local splitting

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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