Stable solutions of elliptic equations on Riemannian manifolds with Euclidean coverings - Archive ouverte HAL
Article Dans Une Revue Proceedings of the American Mathematical Society Année : 2012

Stable solutions of elliptic equations on Riemannian manifolds with Euclidean coverings

Résumé

We investigate the rigidity properties of stable, bounded solutions of semilinear elliptic partial differential equations in Riemannian manifolds that admit a Euclidean universal covering, finding conditions under which the level sets are geodesics or the solution is constant.

Dates et versions

hal-01338737 , version 1 (29-06-2016)

Identifiants

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Alberto Farina, Yannick Sire, Enrico Valdinoci. Stable solutions of elliptic equations on Riemannian manifolds with Euclidean coverings. Proceedings of the American Mathematical Society, 2012, 140 (3), pp.927--930. ⟨10.1090/S0002-9939-2011-11241-3⟩. ⟨hal-01338737⟩
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