Regularity results for a quasilinear free boundary problem

• Published in: Mathematical modelling and analysis Vol. 25; no. 3; pp. 338 - 350
• Main Authors: Challal, Samia, Lyaghfouri, Abdeslem
• Format: Journal Article
• Language: English
• Published: Vilnius Vilnius Gediminas Technical University 13.05.2020
• Subjects: A-Laplacian; Boundary value problems; Continuity (Mathematics); Free boundaries; free boundary; Lipschitz continuity; Mathematical research; Canada; United Arab Emirates; free boundary; A-Laplacian; Lipschitz continuity

In this paper we prove local interior and boundary Lipschitz continuity of the solutions of a quasilinear free boundary problem. We also show that the free boundary is the union of graphs of lower semi-continuous functions.