Duality Principles for Fully Nonlinear Elliptic Equations
Duality Principles for Fully Nonlinear Elliptic Equations
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DOI：
10.1007/3-7643-7317-2_10
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
D. Gomes
中科院分区：
文献类型：
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作者：
D. Gomes
本文利用对偶理论将若干测度与全非线性椭圆方程联系起来。这些测度是马瑟测度对受控随机过程和相关二阶椭圆方程的自然推广。我们应用这些思想证明了全非线性椭圆型方程光滑解的新的先验估计。
In this paper we use duality theory to associate certain measures to fully-nonlinear elliptic equations. These measures are the natural extension of the Mather measures to controlled stochastic processes and associated second-order elliptic equations. We apply these ideas to prove new a priori estimates for smooth solutions of fully nonlinear elliptic equations.