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math.AP2024
On a Schrödinger system with shrinking regions of attraction
Mónica Clapp, Alberto Saldaña, Andrzej Szulkin
In this paper we consider a competitive weakly coupled elliptic system in which each species is attracted to a small region and repelled from its complement. In this setting, we es…
math.AP2024
Multiple normalized solutions to a system of nonlinear Schrödinger equations
Jarosław Mederski, Andrzej Szulkin
We find a normalized solution to the system of coupled nonlinear Schrödinger equations \begin{equation*} \left\{ \begin{array}{l} -Δu_i+ λ_i u_i = \sum_{j=…