Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces (1806.00077v1)

Published 31 May 2018 in math.AP

Abstract: We prove 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.

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