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.

Classication of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature / Pinamonti, Andrea; Dipierro, Serena; Valdinoci, Enrico. - In: ADVANCES IN NONLINEAR ANALYSIS. - ISSN 2191-9496. - 8:1(2019), pp. 1035-1042. [10.1515/anona-2018-0013]

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

Andrea Pinamonti;Enrico Valdinoci
2019

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.
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Pinamonti, Andrea; Dipierro, Serena; Valdinoci, Enrico
Classication of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature / Pinamonti, Andrea; Dipierro, Serena; Valdinoci, Enrico. - In: ADVANCES IN NONLINEAR ANALYSIS. - ISSN 2191-9496. - 8:1(2019), pp. 1035-1042. [10.1515/anona-2018-0013]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11572/209877
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