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.

引用

页码：561 / 587

页数：27

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