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

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.

33 Pages, submitted

References in corpus (2)

• On the existence of $W_p^{1,2}$ solutions for fully nonlinear parabolic equations under either relaxed or no convexity assumptions
• On the existence of $W_p^2$ solutions for fully nonlinear elliptic equations under relaxed convexity assumptions

Cited by in corpus (1)

• Global $L_p$ estimates for kinetic Kolmogorov-Fokker-Planck equations in nondivergence form