Existence of convex solutions for systems of Monge-Ampère equations

Boundary value problems

Fanglei Wang¹  Min Gao¹ 

[1] Department of Mathematics, College of Science, Hohai University, Nanjing, China

关键词: convex solutions;    Monge-Ampère equations;    upper and lower solutions;    fixed point index theory;   

DOI  :  10.1186/s13661-015-0390-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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

【 授权许可】

CC BY