Differentiability in the Sobolev space $$W^{1,n-1}$$ W 1 , n - 1

Ville Tengvall

Type: Article

Publication Date: 2013-10-07

Citations: 22

DOI: https://doi.org/10.1007/s00526-013-0679-4

View Publication

Download PDF

Locations

Calculus of Variations and Partial Differential Equations - View
Jyväskylä University Digital Archive (University of Jyväskylä) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Lipschitz spaces of holomorphic functions on bounded symmetric domains in C^ (N>1)	1985	Maher M.H. Marzuq
+ PDF Chat	An Integral Inequality of an Intrinsic Measure on Bounded Domains in $\C^n$	1992	Wing‐Sum Cheung Benjamin Wong
+ PDF Chat	On the weak differentiability of $u\circ f^{-1}$	2010	Stanislav Hencl
+	Finite distortion Sobolev mappings between manifolds are continuous	2017	Paweł Goldstein Piotr Hajłasz Mohammad Reza Pakzad
+ PDF Chat	Lipschitz spaces of holomorphic and pluriharmonic functions on bounded symmetric domains in $C^N$ (N>1)	1981	Josephine Mitchell
+	Differentiability of Mappings of the Sobolev Space Wn−11 with Conditions on the Distortion Function	2018	S. K. Vodopyanov
+	Continuous Extension of Functions from a Segment to Functions in $\mathbb{R}^n$ with Zero Ball Means	2021	V. V. Volchkov Vit. V. Volchkov
+	Homeomorphisms in the Sobolev space W 1,n–1	2010	Marianna Csörnyei Stanislav Hencl Jan Malý
+	Finite distortion Sobolev mappings between manifolds are continuous	2017	Paweł Goldstein Piotr Hajłasz Mohammad Reza Pakzad
+ PDF Chat	Hardy-Littlewood-Sobolev inequality for $p=1$	2022	Dmitriy Stolyarov
+	The dual of Hardy spaces on a bounded domain in ℝ n	1994	Der‐Chen Chang
+	Hardy spaces and divergence operators on strongly Lipschitz domains in $R^n$	2002	Pascal Auscher Emmanuel Russ
+	Differentiability of Lipschitz Functions on Metric Measure Spaces	1999	Jeff Cheeger
+ PDF Chat	${\mathbb S}^1$-valued Sobolev maps	2010	Petru Mironescu
+ PDF Chat	Finite Distortion Sobolev Mappings between Manifolds are Continuous	2017	Paweł Goldstein Piotr Hajłasz Mohammad Reza Pakzad
+	Hardy’s Inequality on Domains	2015	Alexander Balinsky W. D. Evans Roger T. Lewis
+	Hardy--Littlewood--Sobolev inequality for $p=1$	2020	Dmitriy Stolyarov
+	Hardy--Littlewood--Sobolev inequality for $p=1$	2020	Dmitriy Stolyarov
+	Lipschitz spaces of holomorphic functions on bounded symmetric domains	1977	Wu-Young Chen
+ PDF Chat	Curvature and proper holomorphic mappings between bounded domains in $C^n$	1990	En-Bing Lin Benjamin Wong

Works That Cite This (22)

Action	Title	Year	Authors
+	Foundations of Quasiconformal Analysis of a Two-Index Scale of Spatial Mappings	2019	S. K. Vodopyanov
+	Regularity of the inverse of a homeomorphism with finite inner distortion	2014	Chang Yu Guo
+ PDF Chat	Toward the theory of the Sobolev classes with critical exponent	2019	O.S. Afanas’eva Vladimir Ryazanov Ruslan Salimov
+	Differentiability of Mappings of the Sobolev Space Wn−11 with Conditions on the Distortion Function	2018	S. K. Vodopyanov
+	Mappings of Finite Inner Distortion: Global Homeomorphism Theorem	2014	Chang‐Yu Guo
+	Moduli inequalities for <i>W</i><sup>1</sup><sub><i>n</i>-1,loc</sub>-mappings with weighted bounded (<i>q</i>, <i>p</i>)-distortion	2020	S. K. Vodopyanov
+ PDF Chat	Boundary behavior of the Sobolev classes with critical exponent	2019	O.S. Afanas’eva Vladimir Ryazanov Ruslan Salimov
+	On Poleckii-type modular inequalities	2020	Mihai Cristea
+ PDF Chat	Foundations of quasiconformal analysis of a two-index scale of spatial mappings	2019	S. K. Vodopyanov
+ PDF Chat	Mappings of finite distortion: Size of the branch set	2018	Chang‐Yu Guo Stanislav Hencl Ville Tengvall

Works Cited by This (32)

Action	Title	Year	Authors
+	Moduli in Modern Mapping Theory	2008	Олли Мартио Vladimir Ryazanov Uri Srebro Eduard Yakubov
+ PDF Chat	Lectures on n-Dimensional Quasiconformal Mappings	1971	Jussi Väısälä
+	Geometric Function Theory and Non-linear Analysis	2001	Tadeusz Iwaniec Gaven Martin
+	Measure Theory and Fine Properties of Functions	2018	Lawrence C. Evans Ronald F. Garzepy
+ PDF Chat	Extremal length definitions for the conformal capacity of rings in space.	1962	F. W. Gehring
+	Mappings of finite distortion: Capacity and modulus inequalities	2006	Pekka Koskela Jani Onninen
+	Homeomorphisms of Bounded Variation	2007	Stanislav Hencl Pekka Koskela Jani Onninen
+ PDF Chat	Regularity of the Inverse of a Planar Sobolev Homeomorphism	2005	Stanislav Hencl Pekka Koskela
+ PDF Chat	Mappings with integrable dilatation in higher dimensions	1995	Juan J. Manfredi Enrique Villamor
+	Multi-index Mittag-Leffler Functions	2014	Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin