Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces

Hongjie Dong, N. V. Krylov

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22 Scopus citations

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 languageEnglish (US)
Article number145
JournalCalculus of Variations and Partial Differential Equations
Volume58
Issue number4
DOIs
StatePublished - 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.

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