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

Journal of the European Mathematical Society (2016)

- Volume: 018, Issue: 6, page 1321-1338
- ISSN: 1435-9855

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topImbert, 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 -

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