Multiplicity of Solutions for a Class of Elliptic Systems in R
نویسنده
چکیده
This article concerns the multiplicity of solutions for the system of equations −∆u+ V ( x)u = α|u|α−2u|v|β , −∆v + V ( x)v = β|u|α|v|β−2v in RN , where V is a positive potential. We relate the number of solutions with the topology of the set where V attains its minimum. The results are proved by using minimax theorems and Ljusternik-Schnirelmann theory.
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