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

^*Corresponding author

Faculty of Mathematical, Physical and Natural Sciences

Polytechnic University of Turin
Florida Institute of Technology

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

10 Citations (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.

Original language	English
Pages (from-to)	475-486
Number of pages	12
Journal	Communications in Contemporary Mathematics
Volume	12
Issue number	3
DOIs	https://doi.org/10.1142/S0219199710003890
Publication status	Published - 2010

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Keywords

Critical point theory
Differential equations
Equazioni differenziali
Teoria dei punti critici

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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.",

keywords = "Critical point theory, Differential equations, Equazioni differenziali, Teoria dei punti critici, Critical point theory, Differential equations, Equazioni differenziali, Teoria dei punti critici",

author = "Marco Degiovanni and Sergio Lancelotti and Kanishka Perera",

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pages = "475--486",

journal = "Communications in Contemporary Mathematics",

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T1 - Nontrivial solutions of p-superlinear p-Laplacian problems via a cohomological local splitting

AU - Degiovanni, Marco

AU - Lancelotti, Sergio

AU - Perera, Kanishka

PY - 2010

Y1 - 2010

N2 - 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.

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

UR - https://publicatt.unicatt.it/handle/10807/2974

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DO - 10.1142/S0219199710003890

M3 - Article

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VL - 12

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JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

IS - 3

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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