We study positive solutions u of the Yamabe equation, when k(x) > 0, on manifolds supporting a Sobolev inequality. In particular we get uniform decay estimates at infinity for u which depend on the behaviour at infinity of k, s and the LΓ-norm of u, for some. The required integral control, in turn, is implied by further geometric conditions. Finally we give an application to conformal immersions into the sphere. © 2011 Springer Science+Business Media B.V

Veronelli, G. (2011). Uniform decay estimates for solutions of the Yamabe equation. GEOMETRIAE DEDICATA, 155(1), 1-20 [10.1007/s10711-011-9575-2].

Uniform decay estimates for solutions of the Yamabe equation

Veronelli, G
2011

Abstract

We study positive solutions u of the Yamabe equation, when k(x) > 0, on manifolds supporting a Sobolev inequality. In particular we get uniform decay estimates at infinity for u which depend on the behaviour at infinity of k, s and the LΓ-norm of u, for some. The required integral control, in turn, is implied by further geometric conditions. Finally we give an application to conformal immersions into the sphere. © 2011 Springer Science+Business Media B.V
Articolo in rivista - Articolo scientifico
Nonlinear elliptic partial differential equations; Yamabe problem; Geometry and Topology
English
2011
155
1
1
20
none
Veronelli, G. (2011). Uniform decay estimates for solutions of the Yamabe equation. GEOMETRIAE DEDICATA, 155(1), 1-20 [10.1007/s10711-011-9575-2].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/216754
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