Symmetry results for viscosity solutions of fully nonlinear uniformly elliptic equations

Da Lio, Francesca, and Sirakov, Boyan. "Symmetry results for viscosity solutions of fully nonlinear uniformly elliptic equations." Journal of the European Mathematical Society 009.2 (2007): 317-330. <http://eudml.org/doc/277358>.

@article{DaLio2007,
abstract = {We study uniformly elliptic fully nonlinear equations $F(D^2u,Du,u,x)=0$, and prove results of Gidas–Ni–Nirenberg type for positive viscosity solutions of such equations. We show that symmetries of the equation and the domain are reflected by the solution, both in bounded and unbounded domains.},
author = {Da Lio, Francesca, Sirakov, Boyan},
journal = {Journal of the European Mathematical Society},
keywords = {symmetry; fully nonlinear equations; viscosity solutions},
language = {eng},
number = {2},
pages = {317-330},
publisher = {European Mathematical Society Publishing House},
title = {Symmetry results for viscosity solutions of fully nonlinear uniformly elliptic equations},
url = {http://eudml.org/doc/277358},
volume = {009},
year = {2007},
}

TY - JOUR
AU - Da Lio, Francesca
AU - Sirakov, Boyan
TI - Symmetry results for viscosity solutions of fully nonlinear uniformly elliptic equations
JO - Journal of the European Mathematical Society
PY - 2007
PB - European Mathematical Society Publishing House
VL - 009
IS - 2
SP - 317
EP - 330
AB - We study uniformly elliptic fully nonlinear equations $F(D^2u,Du,u,x)=0$, and prove results of Gidas–Ni–Nirenberg type for positive viscosity solutions of such equations. We show that symmetries of the equation and the domain are reflected by the solution, both in bounded and unbounded domains.
LA - eng
KW - symmetry; fully nonlinear equations; viscosity solutions
UR - http://eudml.org/doc/277358
ER -