Optimal function spaces for continuity of the Hessian determinant as a distribution

DOI10.1016/j.jfa.2015.05.001zbMath1335.46027arXiv1411.5303OpenAlexW2963701248MaRDI QIDQ2355444

Eric Baer, David S. Jerison

Publication date: 23 July 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5303

zbMATH Keywords

distributionBesov spaceHessiandeterminant

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Operations with distributions and generalized functions (46F10) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items (3)

Compensated compactness: continuity in optimal weak topologies ⋮ The distributional hyper-Jacobian determinants in fractional Sobolev spaces ⋮ THE DISTRIBUTIONAL -HESSIAN IN FRACTIONAL SOBOLEV SPACES

Cites Work

• The Jacobian determinant revisited
• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• On the optimality of certain Sobolev exponents for the weak continuity of determinants
• Some Rigidity Results Related to Monge–Ampèere Functions
• Hyperjacobians, determinantal ideals and weak solutions to variational problems
• Strict convergence and minimal liftings in BV
• On weak Hessian determinants
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