On degenerate fully nonlinear elliptic equations in balls
On degenerate fully nonlinear elliptic equations in balls
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DOI：
10.1017/s0004972700013253
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发表时间：
1987-04
影响因子：
0.7
通讯作者：
N. Trudinger
中科院分区：
文献类型：
--
作者：
N. Trudinger
我们为球中 F (D2u) = g 形式的非线性简并椭圆方程的狄利克雷和诺伊曼问题建立了导数估计和存在定理。简并性是由于函数 g 可能消失而产生的，简并 Monge-Ampère 方程被视为一种特殊情况。
We establish derivative estimates and existence theorems for the Dirichlet and Neumann problems for nonlinear, degenerate elliptic equations of the form F (D2u) = g in balls. The degeneracy arises through the possible vanishing of the function g and the degenerate Monge-Ampère equation is covered as a special case.