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- W2006330102 abstract "We prove a general comparison result for homotopic finite $p$-energy $C^{1}$ $p$-harmonic maps $u,v:Mto N$ between Riemannian manifolds, assuming that $M$ is $p$-parabolic and $N$ is complete and non-positively 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." @default.
- W2006330102 created "2016-06-24" @default.
- W2006330102 creator A5091120410 @default.
- W2006330102 date "2010-11-16" @default.
- W2006330102 modified "2023-09-26" @default.
- W2006330102 title "A general comparison theorem for $p$-harmonic maps in homotopy class" @default.
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