Existence of nonnegative solutions for singular elliptic problems
We prove the existence of nonnegative nontrivial weak solutions to the problem −∆u = au−αχ{u>0} − bup in Ω, u = 0 on ∂Ω, where Ω is a bounded domain in Rn. A sufficient condition for the existence of a continuous and strictly positive weak solution is also given, and the uniqueness of such a solution is proved. We also prove a maximality property for solutions that are positive a.e. in Ω.
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| Main Authors: | , |
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| Other Authors: | |
| Format: | info:eu-repo/semantics/publishedVersion biblioteca |
| Language: | eng |
| Published: |
2016
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| Subjects: | Singular elliptic problem, Variational problems, Nonnegative solution, Positive solution, Sub-supersolution, |
| Online Access: | https://ejde.math.txstate.edu/Volumes/2016/191/godoy.pdf http://hdl.handle.net/11086/548455 |
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