Abstract
We present the first to date weighted and mixed-norm Sobolev estimates for fully nonlinear elliptic and parabolic equations in the whole space under a relaxed convexity condition with almost VMO dependence on space-time variables. The corresponding interior and boundary estimates are also obtained.
Original language | English (US) |
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Article number | 145 |
Journal | Calculus of Variations and Partial Differential Equations |
Volume | 58 |
Issue number | 4 |
DOIs | |
State | Published - Aug 1 2019 |
Bibliographical note
Funding Information:H. Dong was partially supported by the NSF under agreement DMS-1600593.
Publisher Copyright:
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.