Sharpness of the differentiability almost everywhere and capacitary estimates for Sobolev mappings
Hencl, S. & Tengvall, V. (2017) Sharpness of the differentiability almost everywhere and capacitary estimates for Sobolev mappings. Revista Matemática Iberoamericana, 33 (2), 595-622.
doi:10.4171/RMI/951
Published in
Revista Matemática IberoamericanaDate
2017Copyright
© European Mathematical Society, 2017.
We give sharp conformal conditions for the dfferentiability in the
Sobolev space W1, n-1 loc (Ω,Rn). Furthermore, we show that the space W1, n-1 loc (Ω,Rn)
can be considered as the borderline space for some capacitary inequalities.
Publisher
European Mathematical Society Publishing House; Real Sociedad Matematica EspanolaISSN Search the Publication Forum
0213-2230Metadata
Show full item recordCollections
Related items
Showing items with similar title or keywords.
-
Everywhere differentiability of viscosity solutions to a class of Aronsson's equations
Siljander, Juhana; Wang, Changyou; Zhou, Yuan (Elsevier Masson, 2017)We show the everywhere differentiability of viscosity solutions to a class of Aronsson equations in R n for n ≥ 2, where the coefficient matrices A are assumed to be uniformly elliptic and C 1,1 . Our result extends ... -
Mappings of L p -integrable distortion: regularity of the inverse
Onninen, Jani; Tengvall, Ville (The RSE Scotland Foundation, 2016)Let X be an open set in R n and suppose that f : X → R n is a Sobolev homeomorphism. We study the regularity of f −1 under the L p -integrability assumption on the distortion function Kf . First, if X is the unit ... -
Generalized dimension distortion under Sobolev mappings
Zapadinskaya, Aleksandra (University of Jyväskylä, 2011) -
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential
Eriksson-Bique, Sylvester; Soultanis, Elefterios (Mathematical Sciences Publishers, 2024)We represent minimal upper gradients of Newtonian functions, in the range 1≤p<∞, by maximal directional derivatives along “generic” curves passing through a given point, using plan-modulus duality and disintegration ... -
Function spaces and pseudo-differential operators on vector bundles
Uusluoto, Veli-Pekka (2019)The objective of this Master thesis is to give coordinate-free definitions of certain concepts in modern analysis on vector bundles and to apply these tools to elliptic partial differential equations. Topics that we cover ...