The exterior Dirichlet problem for Hessian quotient equations

被引：9

作者：

Li, Haigang ^{[2
]}

Dai, Limei ^{[1
]}

机构：

[1] Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Shandong, Peoples R China

[2] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 393卷 / 02期

关键词：

Hessian quotient equations; Exterior Dirichlet problem; Reverse MacLaurin inequality; Viscosity solutions; PARABOLIC AFFINE SPHERES; VISCOSITY SOLUTIONS; ELLIPTIC-EQUATIONS; HYPERSURFACES; REGULARITY; EXISTENCE; EXTENSION; BOUNDARY; THEOREM;

D O I：

10.1016/j.jmaa.2012.03.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using a reverse MacLaurin inequality, we established the existence theorem of the exterior Dirichlet problem for Hessian quotient equations with a stronger asymptotic behavior at infinity. When k <= (n + 1)/2, we improve the result in [L.M. Dai, The Dirichlet problem for Hessian quotient equations in exterior domains, J. Math. Anal. Appl. 380 (2011) 87-93] for S-k,S-l with k - l >= 3 to the result with any 0 <= l <= k. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：534 / 543

页数：10

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