In a 2D free boundary problem for the A-Laplacian, the free boundary is locally the graph of continuous functions.
Lipschitz Continuity of Solutions to a Free Boundary Problem involving the A-Laplacian
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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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2019 1verdicts
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Continuity of the Free Boundary in a Problem involving the A-Laplacian
In a 2D free boundary problem for the A-Laplacian, the free boundary is locally the graph of continuous functions.