Linear and fully nonlinear elliptic equations with Morrey drift

DOI10.1007/s10958-022-06211-1OpenAlexW4310267092MaRDI QIDQ2683658

Nicolai V. Krylov

Publication date: 14 February 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.06840

zbMATH Keywords

regularityexistenceLaplacianfully nonlinear equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (3)

Elliptic equations in Sobolev spaces with Morrey drift and the zeroth-order coefficients ⋮ A review of some new results in the theory of linear elliptic equations with drift in L_d ⋮ On parabolic Adams's, the Chiarenza-Frasca theorems, and some other results related to parabolic Morrey spaces

Cites Work

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• On the alexandroff‐bakelman‐pucci estimate and the reversed hölder inequality for solutions of elliptic and parabolic equations
• Aleksandrov’s estimates for elliptic equations with drift in Morrey spaces containing 𝐿_{𝑑}
• Linear and fully nonlinear elliptic equations with L_d-drift

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