A resonance problem for the p-laplacian in $R^N$
We show the existence of a weak solution for the problem $$ -Delta_p u=lambda_1h(x)|u|^{p-2}u+a(x)g(u)+f(x),quad uinmathcal{D}^{1,p}(mathbb{R}^N), $$ where, 2 les than p less than N$, $lambda_1$ is the first eigenvalue of the $p$-Laplacian on $mathcal{D}^{1,p}(mathbb{R}^N)$ relative to the radially...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2005-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/112/abstr.html |