TY - JOUR
T1 - The Dirichlet Problems for a Class of Fully Nonlinear Elliptic Equations Relative to the Eigenvalues of the Hessian
AU - Wang Lianju
JO - Journal of Partial Differential Equations
VL - 2
SP - 53
EP - 68
PY - 1992
DA - 1992/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5737.html
KW - The eigenvalues of the Hessian matrix
KW -  admissible
KW -  a priori estimates for the C&sup2 norm
AB -  ln this paper we discuss the Dirichlet problems for a class of fully nonliucar elliptic equations F(D&sup2 u) = &#968(x, u)(&#968(x, u, &#8711u)) \quad in Q u = &#966(x) \quad on &#8706&#937 where F is represented by a symmetric function f(&#955_1, &#8230, &#955_n) of the eigenvalues (&#955_1, &#8230,&#955_n) of the Hessian D&sup2u. This result extends the works of Caffarelli L., Nirenberg L., Spruck L. [2] to more general cases.