TY - JOUR
T1 - Existence of Viscosity Solutions of Second Order Fully Nonlinear Elliptic Equations
AU - Bian Baojun
JO - Journal of Partial Differential Equations
VL - 1
SP - 21
EP - 32
PY - 1991
DA - 1991/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5758.html
KW - Viscosity solutions
KW -  Second order fully nonlinear elliptic equations
KW - Existence
AB -  We consider the problem of existence for viscosity solutions of seoond order fully nonlinear elliptic partial differential equations F(D&sup2u, Du, u, z) = 0. We prove existence results for viscosity solutions in W^{1,&#8734} under assumptions that function F satisfies the natural structure conditions. We do not assume F is convex.