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arxiv: 1901.00571 · v1 · pith:HMS64JGYnew · submitted 2019-01-03 · 🧮 math.AP

A class of free boundary problems with Neuman boundary condition

classification 🧮 math.AP
keywords boundaryclassconditionfreeneumanproblemsallowschange
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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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  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.