The singular homogeneous solutions to one phase free boundary problem
نویسندگان
چکیده
منابع مشابه
On smooth solutions to one phase free boundary problem in R
We construct a smooth axially symmetric solution to the classical one phase free boundary problem in R, n ≥ 3. Its free boundary is of “catenoid” type. This is a higher dimensional analogy of the HauswirthHelein-Pacard solution [18] in R. The existence of such solution is conjectured in [18, Remark 2.4]. This is the first nontrivial smooth solution to the one phase free boundary problem in high...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2015
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2015-12553-1