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Linear and Fully Nonlinear Elliptic Equations with Morrey Drift.

Authors :
Krylov, N. V.
Source :
Journal of Mathematical Sciences. Dec2022, Vol. 268 Issue 4, p403-421. 19p.
Publication Year :
2022

Abstract

We present some results concerning the solvability of linear elliptic equations in bounded domains with the main coefficients almost in VMO, the drift and the free terms in Morrey classes containing Ld, and bounded zeroth order coefficient. We prove that the second-order derivatives of solutions are in a local Morrey class contained in Lp,loc. Actually, the exposition is given for fully nonlinear equations and encompasses the above mentioned results, which are new even if the main part of the equation is just the Laplacian. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10723374
Volume :
268
Issue :
4
Database :
Academic Search Index
Journal :
Journal of Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
160956639
Full Text :
https://doi.org/10.1007/s10958-022-06211-1