Solution of the Dirichlet problem for the Monge-Ampere equation in weight spaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Solution of the Dirichlet problem for the Monge-Ampere equation in weight spaces

Authors:	I. M. Ivochkina

Abstract:	One proves the regular solvability of the problem: det(u_xx)=f(x,u,u_x)v>0 ${}^u\|_{partial Omega } = 0 for f(u,u,rho ) in C^{K + d} (bar a), bar a equiv { x in bar Omega ;u in R' ; rho in R^n }$ , k2, under the natural consistency conditions of the dimensions of the convex domain 0Rⁿ and the growth of the function f(x,u,p) with respect to p.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 115, pp. 97–103, 1982.

Keywords:
本文献已被 SpringerLink 等数据库收录！