Weak solutions to the quaternionic Monge–Ampère equation
نویسندگان
چکیده
منابع مشابه
Regularity of Weak Solutions to the Monge–ampère Equation
We study the properties of generalized solutions to the Monge– Ampère equation detD2u = ν, where the Borel measure ν satisfies a condition, introduced by Jerison, that is weaker than the doubling property. When ν = f dx, this condition, which we call D , admits the possibility of f vanishing or becoming infinite. Our analysis extends the regularity theory (due to Caffarelli) available when 0 < ...
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ژورنال
عنوان ژورنال: Analysis & PDE
سال: 2020
ISSN: 1948-206X,2157-5045
DOI: 10.2140/apde.2020.13.1755