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arxiv: 1906.06511 · v1 · pith:SEJ7BOPEnew · submitted 2019-06-15 · 🧮 math.AP

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

S. Challal , A. Lyaghfouri This is my paper
classification 🧮 math.AP
keywords boundaryfreecontinuityinvolvinglipschitzproblemsolutionsa-laplacian
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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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  1. Continuity of the Free Boundary in a Problem involving the A-Laplacian

    math.AP 2019-06 unverdicted novelty 4.0

    In a 2D free boundary problem for the A-Laplacian, the free boundary is locally the graph of continuous functions.