TY - JOUR
T1 - Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
AU - Ishii, H.
AU - Lions, P. L.
PY - 1990
Y1 - 1990
N2 - We investigate comparison and existence results for viscosity solutions of fully nonlinear, second-order, elliptic, possibly degenerate equations. These results complement those recently obtained by R. Jensen and H. Ishii. We consider various boundary conditions like for instance Dirichlet and Neumann conditions. We also apply these methods and results to quasilinear Monge-Ampère equations. Finally, we also address regularity questions.
AB - We investigate comparison and existence results for viscosity solutions of fully nonlinear, second-order, elliptic, possibly degenerate equations. These results complement those recently obtained by R. Jensen and H. Ishii. We consider various boundary conditions like for instance Dirichlet and Neumann conditions. We also apply these methods and results to quasilinear Monge-Ampère equations. Finally, we also address regularity questions.
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U2 - 10.1016/0022-0396(90)90068-Z
DO - 10.1016/0022-0396(90)90068-Z
M3 - Article
AN - SCOPUS:0002824461
SN - 0022-0396
VL - 83
SP - 26
EP - 78
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 1
ER -