Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620324 | Journal of Mathematical Analysis and Applications | 2009 | 13 Pages |
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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