Existence of Solutions for Some Classes of Singular Hamiltonian Systems

Advanced Nonlinear Studies - Tập 5 Số 2 - Trang 265-278 - 2005
Claudianor O. Alves1, Francisco Júlio S.A. Corrêa2, J. V. Gonçalves3
11Departamento de Matematica e Estatistica Universidade Federal de Campina Grande Cep:58109-970, Campina Grande - Pb, Brazil
2Departamento de Matematica Universidade Federal do Pará CEP: 66075-110, Belém - Pa, Brazil
33Departamento de Matematica Universidade de Brasilia CEP:70910-900, Brasilia - DF, Brazil

Tóm tắt

Abstract This paper deals with existence of positive solution for the following singular Hamiltonian system where Ω ⊂ ℝN , N ≥ 2, is a smooth bounded domain and H, T, S, K are continuous functions. A key role is played by the Galerkin method.

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