Quasiconvex bulk and surface energies: C1,α regularity

We establish regularity results for equilibrium configurations of vectorial multidimensional variational problems, involving bulk and surface energies. The bulk energy densities are uniformly strictly quasiconvex functions with pp-growth, p≥2p\ge 2, without any further structure conditions. The anis...

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Bibliographic Details
Main Authors: Carozza Menita, Esposito Luca, Lamberti Lorenzo
Format: Article
Language:English
Published: De Gruyter 2024-08-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2024-0021