Existence and concentration of positive solutions for a class of gradient systems
- Cite this article as:
- Alves, C.O. & Soares, S.H.M. Nonlinear differ. equ. appl. (2006) 12: 437. doi:10.1007/s00030-005-0021-8
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Some gradient systems with two competing potential functions are considered. Bound states (solutions with finite energy) are proved to exist and to concentrate at a point in the limit. The proof relies on variational methods, where the existence and concentration of positive solutions are related to a suitable ground energy function.