TY - JOUR
T1 - On the classical solution of nonlinear elliptic equations of second order
AU - Safonov, M. V.
PY - 1989/6/30
Y1 - 1989/6/30
N2 - The Dirichlet problem in, on, is considered for nonlinear elliptic equations, including Bellman equations with “coefficients” in the Hölder space. It is proved that if is sufficiently small, then this problem is solvable in. If in addition and, then the solution belongs to.
AB - The Dirichlet problem in, on, is considered for nonlinear elliptic equations, including Bellman equations with “coefficients” in the Hölder space. It is proved that if is sufficiently small, then this problem is solvable in. If in addition and, then the solution belongs to.
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U2 - 10.1070/IM1989v033n03ABEH000858
DO - 10.1070/IM1989v033n03ABEH000858
M3 - Article
AN - SCOPUS:84956255304
SN - 1064-5632
VL - 33
SP - 597
EP - 612
JO - Izvestiya Mathematics
JF - Izvestiya Mathematics
IS - 3
ER -