Boundary regularity for viscosity solutions of nonlinear singular elliptic equations

被引：0
|
作者：
Zhang, Qian [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 62卷 / 03期
关键词：
SMALL PERTURBATION SOLUTIONS;
D O I：
10.1007/s00526-022-02427-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we establish boundary regularity for viscosity solutions of nonlinear singular elliptic equations { F (D(2)u, Du, u, u(xn)/x(n), u/x(n)(2), x) = f(x) in B-1 ' x (0,1), u(x) = phi(x ') on B-1 ' x {0}. We prove that if there exists a smooth approximation solutionu u(*) which satisfies u - u(*) = O(x(n)(mu)), then for any is an element of > 0, u is an element of C mu-is an element of up to the boundary {x(n) = 0}.
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页数：21
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