Eigenvalue problems with p-Laplacian operators
In this article, we study eigenvalue problems with the p-Laplacian operator: $$ -(|y'|^{p-2}y')'= (p-1)(\lambda\rho(x)-q(x))|y|^{p-2}y \quad \text{on } (0,\pi_{p}), $$ where p>1 and $\pi_{p}\equiv 2\pi/(p\sin(\pi/p))$. We show that if $\rho \equiv 1$ and q is single-well...
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| Format: | Article |
| Language: | English |
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Texas State University
2014-06-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/139/abstr.html |