Solving p-Laplacian equations on complete manifolds
Using a reduced version of the sub and super-solutions method, we prove that the equation $Delta _{p}u+ku^{p-1}-Ku^{p^{ast }-1}=0$ has a positive solution on a complete Riemannian manifold for appropriate functions $k,K:Mo mathbb{R}$.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2006-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/155/abstr.thml |