Non-convex functionals penalizing simultaneous oscillations along two independent directions: Structure of the defect measure
Abstract
We analyze a family of energies penalizing oscillations in oblique directions: they apply to functions u(x_{1},x_{2}) with x_{l}\in\R^{n_l} and vanish when u(x) is of the form u_{1}(x_{1}) or u_{2}(x_{2}) . We mainly study the rectifiability properties of the defect measure \nabla_{1}\nabla_{2}u of functions with finite energy. The energies depend on a parameter \theta\in(0,1] . For \theta
Fields of Study & Subjects
Advanced Mathematical Modeling in Engineering
Publication details
- Journal / source
- Annales de l Institut Henri Poincaré C Analyse Non Linéaire
- Publication date
- 21 July 2026
- Language
- EN