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

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  • 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.
    Mathematics Subject Classification: 35J50, 35J55.


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