Abstract
| Original language | English |
|---|---|
| Journal | Advances in Nonlinear Analysis |
| DOIs | |
| Publication status | E-pub ahead of print - 7 Jun 2018 |
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Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature. / Dipierro, S.; Pinamonti, A.; Valdinoci, E.
In: Advances in Nonlinear Analysis, 07.06.2018.Research output: Contribution to journal › Article
TY - JOUR
T1 - Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature
AU - Dipierro, S.
AU - Pinamonti, A.
AU - Valdinoci, E.
PY - 2018/6/7
Y1 - 2018/6/7
N2 - 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.
AB - 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.
U2 - 10.1515/anona-2018-0013
DO - 10.1515/anona-2018-0013
M3 - Article
JO - Advances in Nonlinear Analysis
JF - Advances in Nonlinear Analysis
SN - 2191-9496
ER -