On certain degenerate one-phase free boundary problems

Published 13 Dec 2019 in math.AP | (1912.06551v1)

Abstract: We develop an existence and regularity theory for a class of degenerate one-phase free boundary problems. In this way we unify the basic theories in free boundary problems like the classical one-phase problem, the obstacle problem, or more generally for minimizers of the Alt-Phillips functional.

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