Inhomogeneous global minimizers to the one-phase free boundary problem
نویسندگان
چکیده
Given a global 1-homogeneous minimizer U0 to the Alt-Caffarelli energy functional, with sing(F(U0))={0}, we provide foliation of half-space Rn×[0,+∞) dilations graphs minimizers U¯≤U0≤U¯ analytic free boundaries at distance 1 from origin.
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 2022
ISSN: ['1532-4133', '0360-5302']
DOI: https://doi.org/10.1080/03605302.2022.2051187