A strong unique continuation property for weakly coupled elliptic systems

2024/01/08 by Mónica Clapp, Clapp, Mónica, Víctor Hernández-Santamaría +3 · 2 citations
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.2401.04041

Abstract

We establish the validity of a strong unique continuation property for weakly coupled elliptic systems, including competitive ones. Our proof exploits the system structure and uses Carleman estimates. We apply this result to obtain some nonexistence results for critical systems.

Cited by

• Segregated solutions for nonlinear Schrödinger systems with sublinear coupling terms
• On the emergence of dead cores in elliptic systems with sublinear competitive interactions

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