期刊论文详细信息
Advances in Nonlinear Analysis
Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature
article
Serena Dipierro1  Andrea Pinamonti3  Enrico Valdinoci1 
[1] Department of Mathematics and Statistics, University of Western Australia;Dipartimento di Matematica “Federigo Enriques”, Università degli studi di Milano;Università di Trento;School of Mathematics and Statistics, University of Melbourne;Istituto di Matematica Applicata e Tecnologie Informatiche
关键词: Riemannian manifolds;    elliptic problems;    Robin condition;   
DOI  :  10.1515/anona-2018-0013
学科分类:社会科学、人文和艺术(综合)
来源: De Gruyter
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【 摘 要 】

We present a geometric formula of Poincaré type, which is inspired by a classical work of Sternberg and Zumbrun, and we provide a classification result of stable solutions of linear elliptic problems with nonlinear Robin conditions on Riemannian manifolds with nonnegative Ricci curvature. The result obtained here is a refinement of a result recently established by Bandle, Mastrolia, Monticelli and Punzo.

【 授权许可】

CC BY   

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