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arXiv · 1710.07856

Positive ground states for a subcritical and critical coupled system involving Kirchhoff-Schr\"odinger equations

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

In this paper we prove the existence of positive ground state solution for a class of linearly coupled systems involving Kirchhoff-Schr\"odinger 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.

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José Carlos de Albuquerque, João Marcos do Ó, Giovany M. Figueiredo. 2017-10-21. Positive ground states for a subcritical and critical coupled system involving Kirchhoff-Schr\"odinger equations. https://arxiv.org/abs/1710.07856

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