On singular perturbations of superlinear elliptic systems |
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| Authors: | Miguel Ramos |
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| Institution: | University of Lisbon, CMAF, Faculty of Science, Av. Professor Gama Pinto 2, 1649-003 Lisboa, Portugal |
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| Abstract: | We study the existence, multiplicity and shape of positive solutions of the system −ε2Δu+V(x)u=K(x)g(v), −ε2Δv+V(x)v=H(x)f(u) in RN, as ε→0. The functions f and g are power-like nonlinearities with superlinear and subcritical growth at infinity, and V, H, K are positive and locally Hölder continuous. |
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| Keywords: | Superlinear elliptic systems Singular perturbations Spike-layered solutions Minimax methods |
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