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.
Citation
José Carlos de Albuquerque. João Marcos do Ó. Giovany M. Figueiredo. "Positive ground states for a subcritical and critical coupled system involving Kirchhoff-Schrödinger equations." Topol. Methods Nonlinear Anal. 53 (1) 291 - 307, 2019. https://doi.org/10.12775/TMNA.2019.004