This article is cited in 5 papers

On degenerate nonlinear elliptic equations. II

N. V. Krylov


Abstract: Dirichlet problems for degenerate nonlinear elliptic equations of Bellman type $\inf_p(L(p)u+f(p))=0$ are studied, where $L(p)$ is a linear elliptic operator of second order. Under certain conditions on the coefficients of $L(p)$, it is shown that this problem is solvable in the class of functions with bounded second derivatives.
Bibliography: 15 titles.

UDC: 517.9

MSC: Primary 35J70, 35J60; Secondary 35B45, 35A30

Received: 12.05.1982

 English version: Mathematics of the USSR-Sbornik, 1984, 49:1, 207–228

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