Calculus of Variations and Geometric Measure Theory
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A. Farina - Y. Sire - E. Valdinoci

Stable solutions of elliptic equations on riemannian manifolds with euclidean coverings

created by farina on 17 Dec 2010
modified on 12 May 2011


Accepted Paper

Inserted: 17 dec 2010
Last Updated: 12 may 2011

Journal: PAMS
Year: 2011


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


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