On a Schrödinger system with shrinking regions of attraction

DOI10.1007/S00033-024-02404-7MaRDI QIDQ6671840

Alberto Saldaña, Andrzej Szulkin, Mónica Clapp

Publication date: 27 January 2025

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

phase separationconcentrationlimit profilecompetitive weakly coupled elliptic systemshrinking regions of attraction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods for elliptic systems (35J50) Perturbations in context of PDEs (35B20) Entire solutions to PDEs (35B08)

Cites Work

• Title not available (Why is that?)
• Hölder bounds and regularity of emerging free boundaries for strongly competing Schrödinger equations with nontrivial grouping
• Sign-changing solutions of competition-diffusion elliptic systems and optimal partition problems
• A concentration behavior for semilinear elliptic systems with indefinite weight
• Limiting profile of solutions for Schrödinger equations with shrinking self-focusing core
• Nehari's problem and competing species systems.
• A concentration phenomenon for semilinear elliptic equations
• A simple variational approach to weakly coupled competitive elliptic systems
• Spikes in two coupled nonlinear Schrödinger equations
• Limiting profile of solutions for sublinear elliptic equations with shrinking self-focusing core
• The limiting profile of solutions for semilinear elliptic systems with a shrinking self-focusing core
• Configuration spaces and multiple positive solutions to a singularly perturbed elliptic system
• Topics in elliptic problems: from semilinear equations to shape optimization

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