Estimates on elliptic equations that hold only where the gradient is large

Imbert, Cyril, and Silvestre, Luis. "Estimates on elliptic equations that hold only where the gradient is large." Journal of the European Mathematical Society 018.6 (2016): 1321-1338. <http://eudml.org/doc/277399>.

@article{Imbert2016,
abstract = {We consider a function which is a viscosity solution of a uniformly elliptic equation only at those points where the gradient is large. We prove that the Hölder estimates and the Harnack inequality, as in the theory of Krylov and Safonov, apply to these functions.},
author = {Imbert, Cyril, Silvestre, Luis},
journal = {Journal of the European Mathematical Society},
keywords = {degenerate elliptic equations; regularity; viscosity solutions; degenerate elliptic equations; regularity; viscosity solutions},
language = {eng},
number = {6},
pages = {1321-1338},
publisher = {European Mathematical Society Publishing House},
title = {Estimates on elliptic equations that hold only where the gradient is large},
url = {http://eudml.org/doc/277399},
volume = {018},
year = {2016},
}

TY - JOUR
AU - Imbert, Cyril
AU - Silvestre, Luis
TI - Estimates on elliptic equations that hold only where the gradient is large
JO - Journal of the European Mathematical Society
PY - 2016
PB - European Mathematical Society Publishing House
VL - 018
IS - 6
SP - 1321
EP - 1338
AB - We consider a function which is a viscosity solution of a uniformly elliptic equation only at those points where the gradient is large. We prove that the Hölder estimates and the Harnack inequality, as in the theory of Krylov and Safonov, apply to these functions.
LA - eng
KW - degenerate elliptic equations; regularity; viscosity solutions; degenerate elliptic equations; regularity; viscosity solutions
UR - http://eudml.org/doc/277399
ER -