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

Marcelo F. Furtado; Liliane A. Maia; Elves A. B. Silva

doi:10.3934/proc.2003.2003.295

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2003, Volume 2003: 295-304. Doi: 10.3934/proc.2003.2003.295 open access

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

1.
Universidade de Brasília, Departamento de Matemática, 70910-900, Brasília - DF
2.
Departamento de Matemática, UnB, 70910-900 Brasília-DF

Received: August 31, 2002

Revised: February 28, 2003

Published: March 2003

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Abstract

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.

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Mathematics Subject Classification: 35J50, 35J55.

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

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