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Linear and Fully Nonlinear Elliptic Equations with Morrey Drift.
- 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]
- Subjects :
- *ELLIPTIC equations
*NONLINEAR equations
*LINEAR equations
*ELLIPTIC operators
Subjects
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