On conformally invariant equations on Rn

被引：5

作者：

Li, Yanyan ^{[1
]}

Mastrolia, Paolo ^{[2
]}

Monticelli, Dario D. ^{[2
]}

机构：

[1] Rutgers State Univ, Hill Ctr Math Sci, Dept Math, Piscataway, NJ 08854 USA

[2] Univ Milan, Dipartimento Matemat, Via Saldini 50, I-20133 Milan, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2014年 / 95卷

基金：

美国国家科学基金会;

关键词：

Fully nonlinear higher order equations; Elementary conformal tensors; Conformally invariant operators; Schouten tensor; NONLINEAR ELLIPTIC-EQUATIONS; DIFFERENTIAL-OPERATORS; Q-CURVATURE; LAPLACIAN; EXISTENCE; METRICS; SINGULARITIES; INEQUALITIES; 4-MANIFOLDS; GEOMETRY;

D O I：

10.1016/j.na.2013.09.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we provide a complete characterization of fully nonlinear conformally invariant differential operators of any integer order on R-n, which extends the result proved for operators of the second order by A. Li and the first author in Li and Li (2003) [1]. In particular we prove existence and uniqueness of a family of tensors (suitably invariant under Mobius transformations) which are the basic building blocks that appear in the definition of all conformally invariant differential operators on R-n. We also explicitly compute the tensors that are related to operators of order up to four. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：339 / 361

页数：23

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