Electronic Journal of Differential Equations, Vol. 2024 (2024), No. 32, pp. 1-9.

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

Authors: Joao Pablo Pinheiro da Silva (Univ. Federal do Para, Belem, Brazil)
         Edcarlos Domingos da Silva (Univ. de Federal de Goias, Goiania, GO, Brazil)

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.