Samankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
-
Existence and almost uniqueness for p-harmonic Green functions on bounded domains in metric spaces
Björn, Anders; Björn, Jana; Lehrbäck, Juha (Elsevier, 2020)We study (p-harmonic) singular functions, defined by means of upper gradients, in bounded domains in metric measure spaces. It is shown that singular functions exist if and only if the complement of the domain has positive ... -
Conformality and Q-harmonicity in sub-Riemannian manifolds
Capogna, Luca; Citti, Giovanna; Le Donne, Enrico; Ottazzi, Alessandro (Elsevier Masson, 2019)We establish regularity of conformal maps between sub-Riemannian manifolds from regularity of Q-harmonic functions, and in particular we prove a Liouville-type theorem, i.e., 1-quasiconformal maps are smooth in all contact ... -
The Radó-Kneser-Choquet theorem for p-harmonic mappings between Riemannian surfaces
Adamowicz, Tomasz; Jääskeläinen, Jarmo; Koski, Aleksis (European Mathematical Society Publishing House, 2020)In the planar setting, the Radó–Kneser–Choquet theorem states that a harmonic map from the unit disk onto a Jordan domain bounded by a convex curve is a diffeomorphism provided that the boundary mapping is a homeomorphism. ... -
Radial Symmetry of p-Harmonic Minimizers
Koski, Aleksis; Onninen, Jani (Springer, 2018)“It is still not known if the radial cavitating minimizers obtained by Ball [J.M. Ball, Discontinuous equilibrium solutions and cavitation in nonlinear elasticity, Phil. Trans. R. Soc. Lond. A 306 (1982) 557–611] ... -
Radó-Kneser-Choquet Theorem for simply connected domains (p-harmonic setting)
Iwaniec, Tadeusz; Onninen, Jani (American Mathematical Society, 2019)A remarkable result known as Rad´o-Kneser-Choquet theorem asserts that the harmonic extension of a homeomorphism of the boundary of a Jordan domain ⌦ ⇢ R2 onto the boundary of a convex domain Q ⇢ R2 takes ⌦ di↵eomorphically ...
Ellei toisin mainittu, julkisesti saatavilla olevia JYX-metatietoja (poislukien tiivistelmät) saa vapaasti uudelleenkäyttää CC0-lisenssillä.