Existence of Solutions for Some Classes of Singular Hamiltonian Systems

Author:

Alves Claudianor O.1,Corrêa Francisco J. S. A.2,Gonçalves Jose V. A.3

Affiliation:

1. Departamento de Matematica e Estatistica Universidade Federal de Campina Grande Cep:58109-970, Campina Grande - Pb, Brazil

2. Departamento de Matematica Universidade Federal do Pará CEP: 66075-110, Belém - Pa, Brazil

3. Departamento de Matematica Universidade de Brasilia CEP:70910-900, Brasilia - DF, Brazil

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Reference13 articles.

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2. A singular Gierer - Meinhardt system of elliptic equa - tions Non Line aire;Choi;Inst Poincare Anal,2000

3. Remarks on sublinear elliptic equations Nonlinear A singular Gierer - Meinhardt system of elliptic equations : the classical case Nonlinear;Brezis;Anal Anal,1986

4. Sublinear singular elliptic problems with two parameters;Ghergu;Differential Equations,2003

5. Gonc alves and Singular nonlinear elliptic equations in IRN Abstract and de Nonvariational elliptic systems via Galerkin meth - ods Function Spaces Differential Operators and Nonlinear Analysis The Hans Triebel An - niversary Volume;Alves;Applied Analysis,1998

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