The free boundary for a superlinear system

2025/06/02 by Daniela De Silva, Seongmin Jeon, De Silva, Daniela +3 · 3 citations
Engineering · Mathematics · Physics and Astronomy · #35J60 #35R35 #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #FOS: Mathematics #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2506.01607

openalex publication_date 2025/06/02 · openalex created_date 2025/10/14 · openalex updated_date 2026/07/28

Abstract

In this paper, we study superlinear systems that give rise to free boundaries. Such systems appear for example from the minimization of the energy functional ∫_Ω(|\nablau|²+\frac2p|u|^p), 0

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• Vectorial Bernoulli Problems and Free Boundary Systems
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