Aleksandrov’s estimates for elliptic equations with drift in Morrey spaces containing 𝐿_{𝑑}

DOI10.1090/PROC/15771zbMath1482.35057arXiv2103.03955OpenAlexW4245242784MaRDI QIDQ5027205

Hongjie Dong, Nicolai V. Krylov

Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.03955

zbMATH Keywords

Morrey spacesAleksandrov's maximum principle

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15)

Related Items (3)

On Nondegenerate Itô Processes with Moderated Drift ⋮ Linear and fully nonlinear elliptic equations with Morrey drift ⋮ On diffusion processes with drift in a Morrey class containing \(L_{d+2}\)

Cites Work

• Unnamed Item
• Unnamed Item
• \(W^{2,p}\)- and \(W^{1,p}\)-estimates at the boundary for solutions of fully nonlinear, uniformly elliptic equations
• A note on Riesz potentials
• On stochastic equations with drift in \({L_d}\)
• Brownian motion with general drift
• Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations
• On diffusion processes with drift in \(L_d\)
• A nonlinear fabes—stroock result
• Sobolev and Viscosity Solutions for Fully Nonlinear Elliptic and Parabolic Equations
• On the alexandroff‐bakelman‐pucci estimate and the reversed hölder inequality for solutions of elliptic and parabolic equations
• Elliptic equations with VMO a, b$\in L_{d}$, and c$\in L_{d/2}$
• Linear and fully nonlinear elliptic equations with L_d-drift

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