A Note on Lipschitz Continuiy of the Solutions of a Class of Elliptic\n Free Boundary Problems

2019/09/06 by Abdeslem Lyaghfouri, Lyaghfouri, Abdeslem
Computer Science · Mathematics · #35J15 #35R35 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1909.02932

openalex publication_date 2019/09/06 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

We provide a new and simple proof based on Harnack's inequality to the\nLipschitz continuity of the solutions of a class of free boundary problems.\n

Related

• Lipschitz Continuity for Elliptic Free Boundary Problems with Dini Mean Oscillation Coefficients
• Lipschitz Continuity of Solutions to a Free Boundary Problem involving the A-Laplacian
• On the Boundary Harnack Principle for operators with different lower order terms
• A short proof of Boundary Harnack Inequality
• Lipschitz regularity of solutions to two-phase free boundary problems