Topological Methods for Boundary Mean Curvature Problem on Bn-Reference-Cited by-同舟云学术

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Topological Methods for Boundary Mean Curvature Problem on Bn

Published:2014-05-01 Issue:2 Volume:14 Page:445-461
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Al-Ghamdi Mohammed Ali¹,Chtioui Hichem¹,Sharaf Khadijah¹

Affiliation:

1. Department of Mathematics King Abdulaziz University, P.O. 80230, Jeddah, Saudi Arabia

Abstract

Abstract Using an algebraic topological method and the tools of the theory of the critical points at infinity, we provide a variety of classes of functions that can be realized as the mean curvature on the boundary of the the n-dimensional balls.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2014-0212/pdf

Reference16 articles.

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2. The Nirenberg problem in a domain with boundary;Li;Top Meth Nonlin Anal,1995

3. A perturbation result in prescribing scalar curvature on S n Duke;Chang;Math J,1991

4. Proble mes de Neumann non line aires sur les varie te s Riemanniennes;Cherrier;Funct Anal,1984

5. Conformal metric on the ball with zero scalare and prescribed mean curvature on the boundary;Escobar;Funct Anal,2004

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Conformal Flat Metrics with Prescribed Mean Curvature on the Boundary;Bulletin of the Brazilian Mathematical Society, New Series;2021-06-11

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