Existence of convex solutions for systems of Monge-Ampere equations

被引：4

作者：

Gao, Min ^{[1
]}

Wang, Fanglei ^{[1
]}

机构：

[1] Hohai Univ, Coll Sci, Dept Math, Nanjing 211100, Jiangsu, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2015年

关键词：

convex solutions; Monge-Ampere equations; upper and lower solutions; fixed point index theory; POSITIVE RADIAL SOLUTIONS; ELLIPTIC-SYSTEMS; MULTIPLICITY; ANNULUS;

D O I：

10.1186/s13661-015-0390-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence, multiplicity, and nonexistence of convex solutions for systems of Monge-Ampere equations with multiparameters. The proof of the results is based on the method of upper and lower solutions and the fixed point index theory.

引用

页数：12

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