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

2017/10/21 by José Carlos de Albuquerque, de Albuquerque, José Carlos, João Marcos Ó +3
Computer Science · Mathematics · #35B33 #35J50 #35Q55 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1710.07856

openalex publication_date 2017/10/21 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

In this paper we prove the existence of positive ground state solution for a\nclass of linearly coupled systems involving Kirchhoff-Schr "odinger equations.\nWe study the subcritical and critical case. Our approach is variational and\nbased on minimization technique over the Nehari manifold. We also obtain a\nnonexistence result using a Pohozaev identity type.\n

Related

• Characterization of ground-states for a system of M coupled semilinear Schrödinger equations and applications
• Existence of solutions for a system with general Hardy--Sobolev singular criticalities
• Bound and ground states of coupled "NLS-KDV" equations with Hardy potential and critical power
• On the existence of bound and ground states for some coupled nonlinear Schrödinger--Korteweg-de Vries equations
• Ground state solution for a Kirchhoff problem with exponential critical\n growth