Local regularity for concave homogeneous complex degenerate elliptic equations dominating the Monge-Ampere equation

被引：4
|
作者：
Abja, Soufian [1 ]
Olive, Guillaume [1 ]
机构：
[1] Jagiellonian Univ, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2022年 / 201卷 / 02期
关键词：
Degenerate elliptic equations; Local regularity; Hessian equations; DIRICHLET PROBLEM; DUALITY;
D O I：
10.1007/s10231-021-01129-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a local regularity result for W-loc(2,p) solutions to complex degenerate nonlinear elliptic equations F(D(C)(2)u) = f when they dominate the Monge-Ampere equation. Notably, we apply our result to the so-called k-Monge-Ampere equation.
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页码：561 / 587
页数：27
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