### Positive ground states for a subcritical and critical coupled system involving Kirchhoff-Schrödinger equations

José Carlos de Albuquerque, João Marcos do Ó, Giovany M. Figueiredo

DOI: http://dx.doi.org/10.12775/TMNA.2019.004

#### Abstract

In this paper we prove the existence of positive ground state solution for a class of linearly coupled systems involving Kirchhoff-Schrödinger equations. We study the subcritical and critical case. Our approach is variational and based on minimization technique over the Nehari manifold. We also obtain a nonexistence result using a Pohozaev identity type.

#### Keywords

Nonlinear Kirchhoff-Schrödinger equations; coupled systems; lack of compactness; ground states

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#### References

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