Positive solutions for elliptic problems with critical indefinite nonlinearity in bounded domains

In this paper, we study the semilinear elliptic problem with critical nonlinearity and an indefinite weight function, namely $$ - Delta u =lambda u + h (x) u^{(n+2)/(n-2)} $$ in a smooth open bounded domain $Omegasubseteq mathbb{R}^n$, $n > 4 $ with Dirichlet boundary conditions and for $lambd...

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Bibliographic Details
Main Authors: Jacques Giacomoni, Jyotshana V. Prajapat, Mythily Ramaswamy
Format: Article
Language:English
Published: Texas State University 2007-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/15/g2/abstr.html