Quasiconvex bulk and surface energies with subquadratic growth
We establish partial Hölder continuity of the gradient for equilibrium configurations of vectorial multidimensional variational problems, involving bulk and surface energies. The bulk energy densities are uniformly strictly quasiconvex functions with $ p $-growth, $ 1 < p < 2 $, without any further structure conditions. The anisotropic surface energy is defined by means of an elliptic integrand $ \Phi $ not necessarily regular.
Authors
- Menita Carozza (ORCID: https://orcid.org/0000-0003-2759-3857)
- Lorenzo Lamberti (ORCID: https://orcid.org/0000-0003-1659-618X)
- Luca Esposito (ORCID: https://orcid.org/0000-0003-1733-8449)
Institutions
- Centre National de la Recherche Scientifique (FR)
- University of Salerno (IT)
- University of Sannio (IT)
- Institut Élie Cartan de Lorraine (FR)
- Université de Lorraine (FR)
Publication Details
- Journal
- Mathematics in Engineering
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/mine.2025011
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00