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
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
