Regularity results for a quasilinear free boundary problem
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Date
2020-05-13
Authors
Challal, Samia
Lyaghfouri, Abdeslem
Journal Title
Journal ISSN
Volume Title
Publisher
Vilnius Gediminas Technical University
Abstract
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.
Description
Keywords
Applied mathematics, Pure mathematics, Mathematical sciences, A-Laplacian, Free boundary, Lipschitz continuity
Citation
Challal, S., & Lyaghfouri, A. (2020). Regularity results for a quasilinear free boundary problem. Mathematical Modelling and Analysis, 25(3), 338-350. https://doi.org/10.3846/mma.2020.10659