Bifurcation and multiplicity results for a nonhomogeneous semilinear elliptic problem

In this article we consider the problem $$displaylines{ -Delta u(x)+u(x)=lambda (a(x)u^{p}+h(x))quadhbox{in }mathbb{R}^N, cr uin H^{1}(mathbb{R}^N),quad u>0quadhbox{in }mathbb{R}^N, }$$ where $lambda$ is a positive parameter. We assume there exist $mu >2$ and $C>0$ such that $a(x)-1...

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Bibliographic Details
Main Author: Kuan-Ju Chen
Format: Article
Language:English
Published: Texas State University 2008-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/152/abstr.html