Edcarlos D. da Silva
Abstract:
We establish the existence of nontrivial solutions for an
elliptic system which is resonant both at the origin and at infinity.
The resonance is given by an eigenvalue problem with indefinite
weight, and the nonlinear term is permitted to be unbounded.
Also, we consider the case where the resonance at infinity and
at the origin can occur with different weights. Our main tool
is the computation of critical groups.
Submitted January 25, 2010. Published May 5, 2010.
Math Subject Classifications: 35J20, 35J50.
Key Words: Critical groups; resonance; indefinite weights; Morse theory
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Edcarlos D. da Silva IMECC-UNICAMP, CP 6065, 13081-970, Campinas-SP, Brazil. IME-UFG -Instituto de Matemática e Estatística CP 131 CEP 74001-970 - Goiâ:nia - Goiás, Brazil email: eddomingos@mat.ufg.br, eddomingos@hotmail.com |
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