Topological Methods in Nonlinear Analysis

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

José Carlos de Albuquerque, João Marcos do Ó, and 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-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.

Article information

Source
Topol. Methods Nonlinear Anal., Volume 53, Number 1 (2019), 291-307.

Dates
First available in Project Euclid: 25 February 2019

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1551063641

Digital Object Identifier
doi:10.12775/TMNA.2019.004

Mathematical Reviews number (MathSciNet)
MR3939157

Zentralblatt MATH identifier
07068338

Citation

de Albuquerque, José Carlos; do Ó, João Marcos; Figueiredo, Giovany M. Positive ground states for a subcritical and critical coupled system involving Kirchhoff-Schrödinger equations. Topol. Methods Nonlinear Anal. 53 (2019), no. 1, 291--307. doi:10.12775/TMNA.2019.004. https://projecteuclid.org/euclid.tmna/1551063641


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