Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature

S. Dipierro, A. Pinamonti, E. Valdinoci

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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.
Original languageEnglish
JournalAdvances in Nonlinear Analysis
DOIs
Publication statusE-pub ahead of print - 7 Jun 2018

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