黎曼流形上一类非线性偏微分方程正解的唯一性和不存在性结果

数学季刊 ›› 2007, Vol. 22 ›› Issue (3): 344-351.

黎曼流形上一类非线性偏微分方程正解的唯一性和不存在性结果

Department of Mathematics Henan Normal University,Department of Mathematics Henan Normal University Xinxiang 453002,China,Xinxiang 453002,China

收稿日期:2005-05-11 出版日期:2007-09-30 发布日期:2023-10-25
作者简介: LI Xing-xiao(1958-), male, native of Jiyuan, Henan, a professor of Henna Normal University, Ph.D., engages in Riemannian geometry; CAO Lin-fen(1975-), female, native of Linzhou, Henan, a lecturer of Henan Normal University, Ph.D., engages in submanifolds geometry.
基金资助:
Supported by NSF of Henan Province(004051900)

The Uniqueness and Nonexistent Results for Some Nonlinear Partial Equations on Riemannian Manifolds

Department of Mathematics Henan Normal University,Department of Mathematics Henan Normal University Xinxiang 453002,China,Xinxiang 453002,China

Received:2005-05-11 Online:2007-09-30 Published:2023-10-25
About author: LI Xing-xiao(1958-), male, native of Jiyuan, Henan, a professor of Henna Normal University, Ph.D., engages in Riemannian geometry; CAO Lin-fen(1975-), female, native of Linzhou, Henan, a lecturer of Henan Normal University, Ph.D., engages in submanifolds geometry.
Supported by:
Supported by NSF of Henan Province(004051900)

摘要/Abstract

摘要： The paper studies a class of nonlinear elliptic partial differential equations on a compact Riemannian manifold (M,g) with some curvature restriction.The authors try to prove some uniqueness and nonexistent results for the positive solutions of the equations concerned.

关键词: compact Riemannian manifold, nonlinear elliptic equation, positive solution uniqueness and nonexistance

Abstract: The paper studies a class of nonlinear elliptic partial differential equations on a compact Riemannian manifold (M,g) with some curvature restriction.The authors try to prove some uniqueness and nonexistent results for the positive solutions of the equations concerned.

Key words: compact Riemannian manifold, nonlinear elliptic equation, positive solution uniqueness and nonexistance

中图分类号:

O175.29

李兴校, 曹林芬 . 黎曼流形上一类非线性偏微分方程正解的唯一性和不存在性结果[J]. 数学季刊, 2007, 22(3): 344-351.

LI Xing-xiao, CAO Lin-fen. The Uniqueness and Nonexistent Results for Some Nonlinear Partial Equations on Riemannian Manifolds[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(3): 344-351.

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