Accepted Paper
Inserted: 17 dec 2010
Last Updated: 12 may 2011
Journal: PAMS
Year: 2011
Abstract:
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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