On the existence of solutions to the Monge-Ampere equation with infinite boundary values

被引：0
|
作者：
Mohammed, Ahmed [1 ]
机构：
[1] Ball State Univ, Dept Math Sci, Muncie, IN 47306 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 01期
关键词：
SEMILINEAR ELLIPTIC-EQUATIONS; ASYMPTOTIC-BEHAVIOR; BLOW-UP; UNIQUENESS; REGULARITY; OPERATOR;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a positive and an increasing nonlinearity f that satisfies an appropriate growth condition at infinity, we provide a condition on g is an element of C(8 infinity)(Omega) for which the Monge-Ampere equation det D(2)u = gf( u) admits a solution with infinite boundary value on a strictly convex domain.. Sufficient conditions for the nonexistence of such solutions will also be given.
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页码：141 / 149
页数：9
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