On a two-phase free boundary problem ruled by the infinity Laplacian
نویسندگان
چکیده
In this paper we consider a two-phase free boundary problem ruled by the infinity Laplacian. Our main result states that bounded viscosity solutions in B1 are universally Lipschitz continuous B1/2, which is optimal regularity for problem. We make new use of Ishii–Lions’ method, works as surrogate lack monotonicity formula and bound to be applicable related problems.
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2021
ISSN: ['1565-8511', '0021-2172']
DOI: https://doi.org/10.1007/s11856-021-2227-9