Partial regularity for $$\mathbb {A}$$-quasiconvex functionals with Orlicz growth
Abstract
Abstract We establish partial regularity results for minimizers of a class of functionals depending on differential expressions based on elliptic operators. Specifically, we focus on functionals of Orlicz growth with a natural strong quasiconvexity property. In doing so, we consider both $$\Delta _{2}\cap \nabla _{2}$$ -Orlicz growth scenarios and, as a limiting case, $$L \log L$$ -growth. Inspired by Conti & Gmeineder (Calc. Var. & PDE 61:215, 2022), the proofs of our main results are accomplished by reduction to the case of full gradient partial regularity results.
Fields of Study & Subjects
Functional Equations Stability Results
Optimization and Variational Analysis
Meromorphic and Entire Functions
Publication details
- Journal / source
- Annali di Matematica Pura ed Applicata (1923 -)
- Publisher
- Springer Science and Business Media LLC
- Publication date
- 15 May 2026
- Language
- EN