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

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. For more information see https://ejde.math.txstate.edu/Volumes/2024/32/abstr.html