Existence of solutions to p-Laplace equations with logarithmic nonlinearity
This article concerns the the nonlinear elliptic equation $$ -hbox{div}(| abla u|^{p-2} abla u) =log u^{p-1}+lambda f(x,u) $$ in a bounded domain $Omega subset mathbb{R}^{N}$ with $Ngeq 1$ and $u=0$ on $partialOmega$. By means of a double perturbation argument, we obtain a nonnegative solutio...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2009-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2009/87/abstr.html |