Symmetric-Convex Functionals of Linear Growth
Franz Gmeineder
TL;DR
This paper surveys the existence and regularity results for symmetric convex functionals of linear growth, focusing on those depending on symmetric gradients rather than full gradients.
Contribution
It compiles and discusses key results on the mathematical properties of symmetric convex functionals of linear growth, highlighting recent advances.
Findings
Summary of existence results for symmetric convex functionals
Regularity properties of solutions to related variational problems
Comparison with functionals depending on full gradients
Abstract
We give a survey of results regarding existence and regularity for autonomous functionals of linear growth that depend on the symmetric rather than the full gradients.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Nonlinear Differential Equations Analysis