On Dirichlet problems with singular nonlinearity of indefinite sign
Let Ω be a smooth bounded domain in RN , N ≥ 1, let K, M be two nonnegative functions and let α, γ > 0. We study existence and nonexistence of positive solutions for singular problems of the form −Δu = K(x)u−α − λM (x)u−γ in Ω, u = 0 on ∂Ω, where λ > 0 is a real parameter. We mention that as a particular case our results apply to problems of the form −Δu = m(x)u−γ in Ω, u = 0 on ∂Ω, where m is allowed to change sign in Ω.
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| Main Authors: | , |
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| Format: | article biblioteca |
| Language: | eng |
| Published: |
2015
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| Subjects: | Singular elliptic problems, Indefinite nonlinearities, Positive solutions, |
| Online Access: | http://hdl.handle.net/11086/28228 https://doi.org/10.48550/arXiv.1411.5875 |
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