Lipschitz Continuity of Solutions to a Free Boundary Problem involving the A-Laplacian

2019/06/15 by S. Challal, Challal, S., Abdeslem Lyaghfouri +1
Computer Science · Mathematics · #35J60 #35R35 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1906.06511

openalex publication_date 2019/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove local interior and boundary Lipschitz continuity of solutions of a free boundary problem involving the A-Laplacian. We also show that the free boundary is represented locally by graphs of a family of lower semi-continuous functions.

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