Giovany M. Figueiredo
This article concerns the multiplicity of solutions for the system of equations
in , where is a positive potential. We relate the number of solutions with the topology of the set where attains its minimum. The results are proved by using minimax theorems and Ljusternik-Schnirelmann theory.
Submitted May 24, 2005. Published July 12, 2006.
Math Subject Classifications: 35J20, 35J50, 35J60.
Key Words: Variational methods; Palais-Smale condition; Ljusternik-Schnirelmann theory.
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| Giovany M. Figueiredo |
Universidade Federal do Pará
Departamento de Matemática
CEP: 66075-110 Belém - Pa, Brazil
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