Departamento de Matemática
Universidade Federal do Pará
Belem, Brazil
email: jpabloufpa@gmail.com
Departamento de Matemática
Universidade de Federal de Goiás
Goiánia, GO, 74690-900, Brazil
email: edcarlos@ufg.br
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 \(v^\pm:=\max\{0,\pm v\}\not\equiv0\)
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
Show me the PDF file (341 KB), TEX file for this article.
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João Pablo Pinheiro da Silva Departamento de Matemática Universidade Federal do Pará Belem, Brazil email: jpabloufpa@gmail.com |
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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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