Partial regularity for $\mathbb{A}$-quasiconvex functionals with Orlicz growth
| Autor: | Stephan, Paul |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 (J Calc Var, 61:215, 2022), the proofs of our main results are accomplished by reduction to the case of full gradient partial regularity results. Comment: 29 pages, comments welcome |
| Databáze: | arXiv |
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