Infinitely Many Solutions of Superlinear Elliptic Equation

Infinitely Many Solutions of Superlinear Elliptic Equation

Via the Fountain theorem, we obtain the existence of infinitely many solutions of the following superlinear elliptic boundary value problem: −Δu=f(x,u) in Ω,u=0 on ∂Ω, where Ω⊂ℝN  (N>2) is a bounded domain with smooth boundary and f is odd in u and continuous. There is no assumption near zero on...

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Main Authors: Anmin Mao, Yang Li
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/769620
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spelling doaj-dd0f8b06948a446782a4e70cb3825adc2020-11-24T21:13:46ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/769620769620Infinitely Many Solutions of Superlinear Elliptic EquationAnmin Mao0Yang Li1School of Mathematical Sciences, Qufu Normal University, Jining, Shandong 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Jining, Shandong 273165, ChinaVia the Fountain theorem, we obtain the existence of infinitely many solutions of the following superlinear elliptic boundary value problem: −Δu=f(x,u) in Ω,u=0 on ∂Ω, where Ω⊂ℝN  (N>2) is a bounded domain with smooth boundary and f is odd in u and continuous. There is no assumption near zero on the behavior of the nonlinearity f, and f does not satisfy the Ambrosetti-Rabinowitz type technical condition near infinity.http://dx.doi.org/10.1155/2013/769620
collection DOAJ
language English
format Article
sources DOAJ
author Anmin Mao
Yang Li
spellingShingle Anmin Mao
Yang Li
Infinitely Many Solutions of Superlinear Elliptic Equation
Abstract and Applied Analysis
author_facet Anmin Mao
Yang Li
author_sort Anmin Mao
title Infinitely Many Solutions of Superlinear Elliptic Equation
title_short Infinitely Many Solutions of Superlinear Elliptic Equation
title_full Infinitely Many Solutions of Superlinear Elliptic Equation
title_fullStr Infinitely Many Solutions of Superlinear Elliptic Equation
title_full_unstemmed Infinitely Many Solutions of Superlinear Elliptic Equation
title_sort infinitely many solutions of superlinear elliptic equation
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description Via the Fountain theorem, we obtain the existence of infinitely many solutions of the following superlinear elliptic boundary value problem: −Δu=f(x,u) in Ω,u=0 on ∂Ω, where Ω⊂ℝN  (N>2) is a bounded domain with smooth boundary and f is odd in u and continuous. There is no assumption near zero on the behavior of the nonlinearity f, and f does not satisfy the Ambrosetti-Rabinowitz type technical condition near infinity.
url http://dx.doi.org/10.1155/2013/769620
work_keys_str_mv AT anminmao infinitelymanysolutionsofsuperlinearellipticequation
AT yangli infinitelymanysolutionsofsuperlinearellipticequation
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