Spike-layered solutions for an elliptic system with Neumann boundary conditions |
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| Authors: | Miguel Ramos Jianfu Yang |
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| Affiliation: | CMAF and Faculty of Sciences, Universidade de Lisboa, Av. Prof. Gama Pinto, 2, 1649-003 Lisboa, Portugal ; Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, P.O. Box 71010, Wuhan, Hubei 430071 People's Republic of China |
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| Abstract: | We prove the existence of nonconstant positive solutions for a system of the form  ,  in  , with Neumann boundary conditions on  , where  is a smooth bounded domain and  ,  are power-type nonlinearities having superlinear and subcritical growth at infinity. For small values of  , the corresponding solutions  and  admit a unique maximum point which is located at the boundary of  . |
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| Keywords: | Superlinear elliptic systems spike-layered solutions positive solutions minimax methods |
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