
Utskrift från Malmö universitet - mau.se
Utskrift från Malmö universitet - mau.se
Publication | Article, peer reviewed scientific |
Title | Bifurcation of positive solutions for a semilinear equation with critical Sobolev exponent |
Author | Cheng, Yuanji |
Date | 2006 |
English abstract | |
In this note we consider bifurcation of positive solutions to the semilinear elliptic boundary-value problem with critical Sobolev exponent -∆u = λu - αu^p+ u^{2^*-1}, u ≥ 0, in Ω u=0, on Ω. where Ω is a bounded C^2-domain in R^n, n ≥ 3, λ > λ_1, 1 < p < 2^* -1= (n+2)/(n-2) and α > 0 is a bifurcation parameter. Brezis and Nirenberg showed that a lower order (non-negative) perturbation can contribute to regain the compactness and whence yields existence of solutions. We study the equation with an indefinite perturbation and prove a bifurcation result of two solutions for this equation. | |
Link | http://ejde.math.txstate.edu/Volumes/2006/135/chen... (external link to publication) |
Publisher | Department of Mathematics Texas State University-San Marcos, USA |
Host/Issue | Electronic Journal of Differential Equations, |
Volume | 2006 |
ISSN | 1072-6691 |
Pages | 8 |
Article#/Abstract# | 135 |
Page | 1-8 |
Language | eng (iso) |
Subject | Critical exponent Bifurcation Indefinite peturbation Brezis- Nirenberg problem Sciences Research Subject Categories::MATHEMATICS |
Handle | http://hdl.handle.net/2043/10621 Permalink to this page |
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