Absolutely continuous functions of several variables
From MaRDI portal
Publication:1283113
DOI10.1006/jmaa.1998.6246zbMath0924.26008OpenAlexW2117567189MaRDI QIDQ1283113
Publication date: 3 November 1999
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1998.6246
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Absolutely continuous real functions in one variable (26A46)
Related Items (38)
Topological mappings of finite area distortion ⋮ Refined inequalities of perturbed Ostrowski type for higher-order absolutely continuous functions and applications ⋮ A note on convolution operators on Riesz Bounded variation spaces ⋮ A local notion of absolute continuity in \(\mathbb R^n\) ⋮ Absolutely continuous functions with values in a Banach space ⋮ Luzin's condition (N) and Sobolev mappings ⋮ Integral Menger curvature for surfaces ⋮ Absolutely continuous mappings on doubling metric measure spaces ⋮ Absolute continuity in higher dimensions ⋮ Dynamics of quasiconformal fields ⋮ Approximation in Sobolev spaces of nonlinear expressions involving the gradient ⋮ Absolutely continuous functions of several variables and diffeomorphisms ⋮ Absolutely continuous functions of several variables and quasiconformal mappings ⋮ Absolutely continuous functions on compact and connected 1-dimensional metric spaces ⋮ N-Lusin property in metric measure spaces: a new sufficient condition ⋮ Absolutely continuous functions in \(\mathbb R^n\) ⋮ A remark on differentiable functions with partial derivatives in \(L^p\) ⋮ Generalized dimension estimates for images of porous sets under monotone Sobolev mappings ⋮ On duality in problems of optimal control described by convex differential inclusions of Goursat--Darboux type ⋮ Global curvature for surfaces and area minimization under a thickness constraint ⋮ Generalized Hausdorff dimension distortion in Euclidean spaces under Sobolev mappings ⋮ On multipliers between bounded variation spaces ⋮ A remarks on absolutely continuous functions in \(\mathbb R_n\) ⋮ Absolute continuity for Banach space valued mappings ⋮ On the Hencl's notion of absolute continuity ⋮ Regular subclasses in the Sobolev space \(W_{\text{loc}}^{1,n}\) ⋮ Orlicz-Sobolev nematic elastomers ⋮ On the problem of regularity in the Sobolev space \(W_{loc}^{1,n}\) ⋮ Absolutely continuous functions of Rado, Reichelderfer, and Malý ⋮ Variational Problems for Föppl--von Kármán Plates ⋮ Absolutely continuous functions and differentiability in \({\mathbb R}^n\) ⋮ Area formulas in metric measure spaces under a weak Lipschitz-like condition ⋮ Hamiltonian evolution of monokinetic measures with rough momentum profile ⋮ Liouville type theorems for mappings with bounded (co)-distortion ⋮ Aspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces ⋮ A new variational characterization of Sobolev spaces ⋮ Sharp differentiability results for the lower local Lipschitz constant and applications to non-embedding ⋮ The co-area formula for Sobolev mappings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Editor's note: the differentiability of functions in \({\mathbb{R}}^ n\)
- Regularity properties of deformations with finite energy
- A simple proof of the Stepanov theorem on differentiability almost everywhere
- Weakly monotone functions
- Lusin's condition (N) and mappings with nonnegative Jacobians
- An existence theory for nonlinear elasticity that allows for cavitation
- On a new class of elastic deformations not allowing for cavitation
- Analytical foundations of the theory of quasiconformal mappings in R^n
- Weakly Differentiable Functions
- Area and the area formula
- Lusin's condition (N) and mappings of the class W1, n.
- Change of variables formula under minimal assumptions
- Transformations by functions in Sobolev spaces and lower semicontinuity for parametric variational problems
- Surface area. I
This page was built for publication: Absolutely continuous functions of several variables
