Weak regularity of the inverse under minimal assumptions

DOI10.1007/S00205-020-01540-4zbMath1443.26007arXiv1804.03449OpenAlexW3035025549MaRDI QIDQ776893

Rami Luisto, Stanislav Hencl, Aapo Kauranen

Publication date: 13 July 2020

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.03449

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (2)

On BV homeomorphisms ⋮ On distributional adjugate and derivative of the inverse

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Note on Lusin \((N)\) condition and the distributional determinant
• Lectures on mappings of finite distortion
• Sharpness of the assumptions for the regularity of a homeomorphism
• Fracture surfaces and the regularity of inverses for BV deformations
• Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity
• Injectivity and self-contact in nonlinear elasticity
• Some remarks on the distributional Jacobian
• An existence theory for nonlinear elasticity that allows for cavitation
• Homeomorphisms of bounded variation
• Regularity of the inverse of a planar Sobolev homeomorphism
• On the total variations for the inverse of a BV-homeomorphism
• Lusin's condition and the distributional determinant for deformations with finite energy
• Surface Area. (AM-35)
• Homeomorphisms in the Sobolev space W 1,n–1
• Global invertibility of Sobolev functions and the interpenetration of matter
• Some fine properties of currents and applications to distributional Jacobians
• Invertibility and a Topological Property of Sobolev Maps
• Hausdorff Measure and Lebesgue Area
• Mappings of finite distortion: Monotonicity and continuity

This page was built for publication: Weak regularity of the inverse under minimal assumptions