Classification of global solutions of a free boundary problem in the plane

DOI10.4171/IFB/494zbMath1526.35330arXiv2203.11663MaRDI QIDQ6082523

Serena Dipierro, Enrico Valdinoci, Aram L. Karakhanyan

Publication date: 6 November 2023

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.11663

zbMATH Keywords

classification resultspartial and ordinary differential equationsfree boundary problems in the plane

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Solutions to PDEs in closed form (35C05) Entire solutions to PDEs (35B08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Variational properties of nonlocal singular problems ⋮ Elliptic regularization of some semilinear parabolic free boundary problems

Cites Work

• The regularity of free boundaries in higher dimensions
• The nodal set of solutions to some elliptic problems: singular nonlinearities
• Uniqueness in a diffusion model of population biology
• Ordinary Differential Equations with Applications
• Boundary Regularity and Nontransversal Intersection for the Fully Nonlinear Obstacle Problem
• The Alt–Phillips functional for negative powers
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Classification of global solutions of a free boundary problem in the plane