We prove a general comparison result for homotopic finite p-energy C1p-harmonic maps u,v:M→N between Riemannian manifolds, assuming that M is p-parabolic and N is complete and nonpositively curved. In particular, we construct a homotopy through constant p-energy maps, which turn out to be p-harmonic when N is compact. Moreover, we obtain uniqueness in the case of negatively curved N. This generalizes a well-known result in the harmonic setting due to R. Schoen and S.T. Yau. © 2011 Elsevier Inc.

Veronelli, G. (2012). A general comparison theorem for p-harmonic maps in homotopy class. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 391(2), 335-349 [10.1016/j.jmaa.2011.03.037].

A general comparison theorem for p-harmonic maps in homotopy class

Veronelli, G
2012

Abstract

We prove a general comparison result for homotopic finite p-energy C1p-harmonic maps u,v:M→N between Riemannian manifolds, assuming that M is p-parabolic and N is complete and nonpositively curved. In particular, we construct a homotopy through constant p-energy maps, which turn out to be p-harmonic when N is compact. Moreover, we obtain uniqueness in the case of negatively curved N. This generalizes a well-known result in the harmonic setting due to R. Schoen and S.T. Yau. © 2011 Elsevier Inc.
Articolo in rivista - Articolo scientifico
Homotopy classes of maps; P-Harmonic maps; P-Parabolicity; Analysis; Applied Mathematics
English
2012
391
2
335
349
none
Veronelli, G. (2012). A general comparison theorem for p-harmonic maps in homotopy class. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 391(2), 335-349 [10.1016/j.jmaa.2011.03.037].
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.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/216748
Citazioni
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 4
Social impact