Calculus of Variations and Geometric Measure Theory
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S. Dipierro - A. Pinamonti - E. Valdinoci

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

created by pinamonti on 19 Oct 2017
modified on 11 Jan 2018


Accepted Paper

Inserted: 19 oct 2017
Last Updated: 11 jan 2018

Journal: Advances in Nonlinear Analysis
Year: 2017


We present a geometric formula of Poincar\'e 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.


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