Monge—Ampére方程边值问题的多解

Multiple solutions to boundary value problems of Monge-Ampére equations

文中利用了先验估计和拓扑度方法证明Monge—Ampére型椭圆偏微分方程的第二边值问题在一定条件下存在两个或多个解。

in this paper the existence of two or more solutions to the Dirichlet problem and the Neumann problem of Monge-Ampere equations by means of a priori estimates and topological degree theory is proved.