existence and nonexistence results for quasilinear semipositone dirichlet problems
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ID: 144927
2009
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Abstract
We use the sub/supersolution method to analyze a semipositone Dirichlet problem for the p-Laplacian. To find a positive solution, we therefore focus on a related problem that produces positive subsolutions. We establish a new nonexistence result for this subsolution problem on general domains, discuss the existence of positive radial subsolutions on balls, and then apply our results to problems involving particular semipositone nonlinearities.
| Reference Key |
rudd2009electronicexistence
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| Authors | ;Matthew Rudd |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2009 |
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| Keywords | Keywords not found |
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