Electron. J. Diff. Equ., Vol. 2013 (2013), No. 69, pp. 1-17.

Existence and multiplicity of solutions to strongly indefinite Hamiltonian system involving critical Hardy-Sobolev exponents

Francisco Odair de Paiva, Rodrigo S. Rodrigues

Abstract:
In this article, we study the existence and multiplicity of nontrivial solutions for a class of Hamiltoniam systems with weights and nonlinearity involving the Hardy-Sobolev exponents. Results are proved using variational methods for strongly indefinite functionals.

Submitted September 10, 2012. Published March 13, 2013.
Math Subject Classifications: 35B25, 35B33, 35J55, 35J70.
Key Words: Hamiltonian systems; strongly indefinite variational structure; critical Hard-Sobolev exponents.

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Francisco Odair de Paiva
Departamento de Matemática, Universidade Federal de São Carlos
13565-905, Sáo Carlos, SP, Brazil
email: odair@dm.ufscar.br
Rodrigo da Silva Rodrigues
Departamento de Matemática, Universidade Federal de São Carlos
13565-905, Sáo Carlos, SP, Brazil
email: rodrigosrodrigues@ig.com.br

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