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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