Nonlinear nonhomogeneous neumann eigenvalue problems

Roberto Livrea; Roberto Livrea; Pasquale Candito; Nikolaos S. Papageorgiou

Nonlinear nonhomogeneous neumann eigenvalue problems

Roberto Livrea, Roberto Livrea, Pasquale Candito, Nikolaos S. Papageorgiou

Matematica e Informatica

Risultato della ricerca: Article › peer review

2 Citazioni (Scopus)

Abstract

We consider a nonlinear parametric Neumann problem driven by a nonhomogeneous differential operator with a reaction which is (p - 1)-superlinear near ±∞ and exhibits concave terms near zero. We show that for all small values of the parameter, the problem has at least five solutions, four of constant sign and the fifth nodal. We also show the existence of extremal constant sign solutions.

Lingua originale	English
pagine (da-a)	1-24
Numero di pagine	24
Rivista	ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
Volume	2015
Stato di pubblicazione	Published - 2015

All Science Journal Classification (ASJC) codes

Applied Mathematics

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title = "Nonlinear nonhomogeneous neumann eigenvalue problems",

abstract = "We consider a nonlinear parametric Neumann problem driven by a nonhomogeneous differential operator with a reaction which is (p - 1)-superlinear near ±∞ and exhibits concave terms near zero. We show that for all small values of the parameter, the problem has at least five solutions, four of constant sign and the fifth nodal. We also show the existence of extremal constant sign solutions.",

keywords = "Concave terms, Critical groups, Extremal constant sign solutions, Maximum principle, Nodal solution, Superlinear reaction, Concave terms, Critical groups, Extremal constant sign solutions, Maximum principle, Nodal solution, Superlinear reaction",

author = "Roberto Livrea and Roberto Livrea and Pasquale Candito and Papageorgiou, {Nikolaos S.}",

year = "2015",

language = "English",

volume = "2015",

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journal = "Electronic Journal of Qualitative Theory of Differential Equations",

issn = "1417-3875",

publisher = "University of Szeged",

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T1 - Nonlinear nonhomogeneous neumann eigenvalue problems

AU - Livrea, Roberto

AU - Candito, Pasquale

AU - Papageorgiou, Nikolaos S.

PY - 2015

Y1 - 2015

N2 - We consider a nonlinear parametric Neumann problem driven by a nonhomogeneous differential operator with a reaction which is (p - 1)-superlinear near ±∞ and exhibits concave terms near zero. We show that for all small values of the parameter, the problem has at least five solutions, four of constant sign and the fifth nodal. We also show the existence of extremal constant sign solutions.

AB - We consider a nonlinear parametric Neumann problem driven by a nonhomogeneous differential operator with a reaction which is (p - 1)-superlinear near ±∞ and exhibits concave terms near zero. We show that for all small values of the parameter, the problem has at least five solutions, four of constant sign and the fifth nodal. We also show the existence of extremal constant sign solutions.

KW - Concave terms

KW - Critical groups

KW - Extremal constant sign solutions

KW - Maximum principle

KW - Nodal solution

KW - Superlinear reaction

KW - Concave terms

KW - Critical groups

KW - Extremal constant sign solutions

KW - Maximum principle

KW - Nodal solution

KW - Superlinear reaction

UR - http://hdl.handle.net/10447/258601

UR - http://www.math.u-szeged.hu/ejqtde/p4005.pdf

M3 - Article

VL - 2015

SP - 1

EP - 24

JO - Electronic Journal of Qualitative Theory of Differential Equations

JF - Electronic Journal of Qualitative Theory of Differential Equations

SN - 1417-3875

ER -