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.
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| Format: | Article |
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Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/749368 |
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doaj-91a87be47e6747f0b9270610d40fe4c92020-11-24T20:55:05ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/749368749368Global Bifurcation of Positive Solutions of Asymptotically Linear Elliptic ProblemsRuyun Ma0Yanqiong Lu1Ruipeng Chen2Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaWe 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.http://dx.doi.org/10.1155/2014/749368 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ruyun Ma Yanqiong Lu Ruipeng Chen |
| spellingShingle |
Ruyun Ma Yanqiong Lu Ruipeng Chen Global Bifurcation of Positive Solutions of Asymptotically Linear Elliptic Problems Abstract and Applied Analysis |
| author_facet |
Ruyun Ma Yanqiong Lu Ruipeng Chen |
| author_sort |
Ruyun Ma |
| title |
Global Bifurcation of Positive Solutions of Asymptotically Linear Elliptic Problems |
| title_short |
Global Bifurcation of Positive Solutions of Asymptotically Linear Elliptic Problems |
| title_full |
Global Bifurcation of Positive Solutions of Asymptotically Linear Elliptic Problems |
| title_fullStr |
Global Bifurcation of Positive Solutions of Asymptotically Linear Elliptic Problems |
| title_full_unstemmed |
Global Bifurcation of Positive Solutions of Asymptotically Linear Elliptic Problems |
| title_sort |
global bifurcation of positive solutions of asymptotically linear elliptic problems |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2014-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2014/749368 |
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1716792621750288384 |