Regularity of quasi-n-harmonic mappings into NPC spaces

In paragraph 2 we apply the Aronszajn-Carleman unique continuation theorem for elliptic equations to obtain a unique continuation theorem for harmonic mappings In paragraph 3 we prove

Notice that the proof of Proposition 1.3 relies on the Kellogg-Warschawski theorem ([6, 33, 34]) from the theory of conformal mappings, which asserts that if w is a conformal mapping

Until now, this method has been known [9, Section 3.4] as the only other general means for construction of invertible harmonic map- pings, besides Kneser’s Theorem.. In fact, we

D ( respectively E ) is equipped with the canonical system of approach re- gions ( respectively the system of angular approach regions ).. Our approach here avoid completely

about the behavior of holomorphic mappings near a totally real manifold. These results rely on Webster’s method. This method needs continuity on a wedge, and attempting

the constraint H 1 (M, C) (see Section 3), that is we characterize weak harmonic maps as to be distributional solutions to a system of elliptic partial

These classes are closed with respect to the weak convergence of currents, the parametric extension of the Dirichlet integral. is lower semicontinuous and coercive on

PIN010DUK, Proper holomorphic mappings of strictly pseudoconvex domains, (Russian), Dokl. 1; English translation