Eigenvalue problems for the p-Laplacian with indefinite weights
We consider the eigenvalue problem $-Delta_p u=lambda V(x) |u|^{p-2} u, uin W_0^{1,p} (Omega)$ where $p>1$, $Delta_p$ is the p-Laplacian operator, $lambda >0$, $Omega$ is a bounded domain in $mathbb{R}^N$ and $V$ is a given function in $L^s (Omega)$ ($s$ depending on $p$ and $N$). The weight f...
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Format: | Article |
Language: | English |
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Texas State University
2001-05-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2001/33/abstr.html |