Yamabe方程在完备流形上的一个推广

数学季刊 ›› 2010, Vol. 25 ›› Issue (1): 1-7.

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Yamabe方程在完备流形上的一个推广

Department of Mathematics, Beihang University

收稿日期:2006-01-15 出版日期:2010-03-30 发布日期:2023-06-07
作者简介:WU San-xing(1958- ), male, native of Qixian, Shanxi, an associate professor of Beihang University, Ph.D., engages in differential geometry.
基金资助:
Supported by the NSFC(10871017)；

A Generalization of Yamabe Equation on Complete Manifolds

Department of Mathematics, Beihang University

Received:2006-01-15 Online:2010-03-30 Published:2023-06-07
About author:WU San-xing(1958- ), male, native of Qixian, Shanxi, an associate professor of Beihang University, Ph.D., engages in differential geometry.
Supported by:
Supported by the NSFC(10871017)；

摘要/Abstract

摘要： This paper considers a semilinear elliptic equation on a n-dimensional complete noncompact Riemannian manifold, which is a generalization of the well known Yamabe equation. An existence result is proved.

关键词: Riemannian manifold, conformal Riemannian metric, semilinear elliptic PDE

Abstract: This paper considers a semilinear elliptic equation on a n-dimensional complete noncompact Riemannian manifold, which is a generalization of the well known Yamabe equation. An existence result is proved.

Key words: Riemannian manifold, conformal Riemannian metric, semilinear elliptic PDE

中图分类号:

O175

武三星. Yamabe方程在完备流形上的一个推广[J]. 数学季刊, 2010, 25(1): 1-7.

WU San-xing. A Generalization of Yamabe Equation on Complete Manifolds [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(1): 1-7.

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Yamabe方程在完备流形上的一个推广

A Generalization of Yamabe Equation on Complete Manifolds

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