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 | |
【 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
【 预 览 】
Files | Size | Format | View |
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RO202107200000666ZK.pdf | 572KB | download |