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2003, 2003(Special): 295-304. doi: 10.3934/proc.2003.2003.295

Systems with coupling in $mathbb(R)^N$ class of noncoercive potentials

Marcelo F. Furtado 1, , Liliane A. Maia 2, and  Elves A. B. Silva 2,

1. 

Universidade de Brasília, Departamento de Matemática, 70910-900, Brasília - DF, Brazil
2. 

Departamento de Matemática, UnB, 70910-900 Brasília-DF, Brazil, Brazil

Received  September 2002 Revised  March 2003 Published  April 2003

This paper deals with the existence and multiplicity of solutions to a class of resonant semilinear elliptic system in RN. The main goal is to consider systems with coupling where none of the potentials are coercive. The existence of solution is proved under a critical growth condition on the nonlinearity.
Keywords: Elliptic Systems, Resonant Problems., Nonquadraticity.
Mathematics Subject Classification: 35J50, 35J5.
Citation: Marcelo F. Furtado, Liliane A. Maia, Elves A. B. Silva. Systems with coupling in $mathbb(R)^N$ class of noncoercive potentials. Conference Publications, 2003, 2003 (Special) : 295-304. doi: 10.3934/proc.2003.2003.295
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