Existence of solutions to nonlocal and singular elliptic problems via Galerkin method
We study the existence of solutions to the nonlocal elliptic equation $$ -M(|u|^2)Delta u = f(x,u) $$ with zero Dirichlet boundary conditions on a bounded and smooth domain of $mathbb{R}^n$. We consider the $M$-linear case with $fin H^{-1}(Omega )$, and the sub-linear case $f(u)=u^{alpha}$, $0<al...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2004-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/19/abstr.html |