Nonlinear elliptic equations with asymmetric asymptotic behavior at $pminfty$

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

Nonlinear elliptic equations with asymmetric asymptotic behavior at $pminfty$

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

Matematica e Informatica

Risultato della ricerca: Article › peer review

10 Citazioni (Scopus)

Abstract

We consider a nonlinear, nonhomogeneous Dirichlet problem with reaction which is asymptotically superlinear at $+infty$ and sublinear at $-infty$. Using minimax methods together with suitable truncation techniques and Morse theory, we show that the problem has at least three nontrivial solutions one of which is negative.

Lingua originale	English
pagine (da-a)	159-177
Numero di pagine	19
Rivista	Nonlinear Analysis: Real World Applications
Volume	32
Stato di pubblicazione	Published - 2016

All Science Journal Classification (ASJC) codes

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title = "Nonlinear elliptic equations with asymmetric asymptotic behavior at $pminfty$",

abstract = "We consider a nonlinear, nonhomogeneous Dirichlet problem with reaction which is asymptotically superlinear at $+infty$ and sublinear at $-infty$. Using minimax methods together with suitable truncation techniques and Morse theory, we show that the problem has at least three nontrivial solutions one of which is negative.",

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

year = "2016",

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journal = "Nonlinear Analysis: Real World Applications",

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T1 - Nonlinear elliptic equations with asymmetric asymptotic behavior at $pminfty$

AU - Livrea, Roberto

AU - Candito, Pasquale

AU - Papageorgiou, Nikolaos S.

PY - 2016

Y1 - 2016

N2 - We consider a nonlinear, nonhomogeneous Dirichlet problem with reaction which is asymptotically superlinear at $+infty$ and sublinear at $-infty$. Using minimax methods together with suitable truncation techniques and Morse theory, we show that the problem has at least three nontrivial solutions one of which is negative.

AB - We consider a nonlinear, nonhomogeneous Dirichlet problem with reaction which is asymptotically superlinear at $+infty$ and sublinear at $-infty$. Using minimax methods together with suitable truncation techniques and Morse theory, we show that the problem has at least three nontrivial solutions one of which is negative.

UR - http://hdl.handle.net/10447/258609

M3 - Article

SN - 1468-1218

VL - 32

SP - 159

EP - 177

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

ER -

Nonlinear elliptic equations with asymmetric asymptotic behavior at $pminfty$

Abstract

All Science Journal Classification (ASJC) codes

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