A multiplicity theorem for parametric superlinear (p, q)-equations

Calogero Vetro; Florin-Iulian Onete; Nikolaos S. Papageorgiou

A multiplicity theorem for parametric superlinear (p, q)-equations

Calogero Vetro, Florin-Iulian Onete, Nikolaos S. Papageorgiou

Matematica e Informatica

Risultato della ricerca: Article › peer review

Abstract

We consider a parametric nonlinear Robin problem driven by the sum of a p-Laplacian and of a q-Laplacian ((p, q)-equation). The reaction term is (p - 1)-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition. Using variational tools, together with truncation and comparison techniques and critical groups, we show that for all small values of the parameter, the problem has at least five nontrivial smooth solutions, all with sign information.

Lingua originale	English
pagine (da-a)	131-149
Numero di pagine	19
Rivista	OPUSCULA MATHEMATICA. ROCZNIK AKADEMIA GÓRNICZO-HUTNICZA IM. STANISłAWA STASZICA
Volume	40
Stato di pubblicazione	Published - 2020

All Science Journal Classification (ASJC) codes

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title = "A multiplicity theorem for parametric superlinear (p, q)-equations",

abstract = "We consider a parametric nonlinear Robin problem driven by the sum of a p-Laplacian and of a q-Laplacian ((p, q)-equation). The reaction term is (p - 1)-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition. Using variational tools, together with truncation and comparison techniques and critical groups, we show that for all small values of the parameter, the problem has at least five nontrivial smooth solutions, all with sign information.",

author = "Calogero Vetro and Florin-Iulian Onete and Papageorgiou, {Nikolaos S.}",

year = "2020",

language = "English",

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TY - JOUR

T1 - A multiplicity theorem for parametric superlinear (p, q)-equations

AU - Vetro, Calogero

AU - Onete, Florin-Iulian

AU - Papageorgiou, Nikolaos S.

PY - 2020

Y1 - 2020

N2 - We consider a parametric nonlinear Robin problem driven by the sum of a p-Laplacian and of a q-Laplacian ((p, q)-equation). The reaction term is (p - 1)-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition. Using variational tools, together with truncation and comparison techniques and critical groups, we show that for all small values of the parameter, the problem has at least five nontrivial smooth solutions, all with sign information.

AB - We consider a parametric nonlinear Robin problem driven by the sum of a p-Laplacian and of a q-Laplacian ((p, q)-equation). The reaction term is (p - 1)-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition. Using variational tools, together with truncation and comparison techniques and critical groups, we show that for all small values of the parameter, the problem has at least five nontrivial smooth solutions, all with sign information.

UR - http://hdl.handle.net/10447/416408

M3 - Article

VL - 40

SP - 131

EP - 149

JO - OPUSCULA MATHEMATICA. ROCZNIK AKADEMIA GÓRNICZO-HUTNICZA IM. STANISłAWA STASZICA

JF - OPUSCULA MATHEMATICA. ROCZNIK AKADEMIA GÓRNICZO-HUTNICZA IM. STANISłAWA STASZICA

SN - 1232-9274

ER -