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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Bibliographic Details
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