In a 2D free boundary problem for the A-Laplacian, the free boundary is locally the graph of continuous functions.
A class of free boundary problems with Neuman boundary condition
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abstract
In this work, we investigate the continuity of the free boundary in a class of elliptic problems, with Neuman boundary condition. The main idea is a change of variable that allows us to reduce the problem to the one studied in [14].
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math.AP 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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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.