TY - JOUR
T1 - Regularity of Solution for Fully Nonlinear Second Order Elliptic Equation with Gradient Constraint
JO - Journal of Partial Differential Equations
VL - 4
SP - 313
EP - 334
PY - 1998
DA - 1998/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5573.html
KW - Regularity and existence
KW - gradient constraint
KW - viscosity solution
AB -  The existence and regularity of the solution for the fully nonlinear second order elliptic equation with gradient constraint are discussed in this paper. We prove the existence of the strong solution by choice of special penalty function, and obtain the local W^{2,∞} estimate of the solution by means of the theory of viscosity solution with the auxiliary function method.