Electron. J. Differential Equations, Vol. 2024 (2024), No. 32, pp. 1-9.

Existence of semi-nodal solutions for elliptic systems related to Gross-Pitaevskii equations

Joao Pablo Pinheiro da Silva, Edcarlos Domingos da Silva

Abstract:
In this work we consider existence of semi-nodal solutions, i.e., solutions of the form (u,v) with u>0 and v±:=max{0,±v}≢0 for a class of elliptic systems related to the Gross-Pitaevskii equation.

Submitted June 10, 2023. Published April 25, 2024.
Math Subject Classifications: 35J47, 35J50.
Key Words: Elliptic systems; variational methods; semi-nodal solutions; Gross-Pitaevskii equation.
DOI: 10.58997/ejde.2024.32

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João Pablo Pinheiro da Silva
Departamento de Matemática
Universidade Federal do Pará
Belem, Brazil
email: jpabloufpa@gmail.com
Edcarlos Domingos da Silva
Departamento de Matemática
Universidade de Federal de Goiás
Goiánia, GO, 74690-900, Brazil
email: edcarlos@ufg.br

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