Positive solution for Henon type equations with critical Sobolev growth

We investigate the Henon type equation involving the critical Sobolev exponent with Dirichret boundary condition $$ - \Delta u = \lambda \Psi u + | x |^\alpha u^{2^*-1} $$ in $\Omega$ included in a unit ball, under several conditions. Here, $\Psi$ is a non-trivial given function with $0 \l...

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Bibliographic Details
Main Author: Kazune Takahashi
Format: Article
Language:English
Published: Texas State University 2018-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/194/abstr.html