Global Bifurcation of Positive Solutions of Asymptotically Linear Elliptic Problems
We are concerned with determining values of λ, for which there exist positive solutions of the nonlinear elliptic problem -Δu=λa(x)f(u) in Ω, ∂u/∂n+b(x)g(u)=0 on ∂Ω. The proof of our main results is based upon unilateral global bifurcation theorem of López-Gómez.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/749368 |
| Summary: | We are concerned with determining values of λ, for which there exist positive solutions of the nonlinear elliptic problem -Δu=λa(x)f(u) in Ω, ∂u/∂n+b(x)g(u)=0 on ∂Ω. The proof of our main results is based upon unilateral global bifurcation theorem of López-Gómez. |
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| ISSN: | 1085-3375 1687-0409 |