Regularity for multi-phase problems at nearly linear growth
Minima of the log-multiphase variational integral w ↦ ∫ Ω [ | D w | log ( 1 + | D w | ) + a ( x ) | D w | q + b ( x ) | D w | s ] d x , have locally Hölder continuous gradient under sharp quantitative bounds linking the growth powers ( q , s ) to the Hölder exponents of the modulating coefficients a ( ⋅ ) and b ( ⋅ ) respectively.
Authors
- Filomena De Filippis (ORCID: https://orcid.org/0000-0002-2784-1411)
- Mirco Piccinini (ORCID: https://orcid.org/0000-0002-4674-9653)
Institutions
- University of Parma (IT)
Publication Details
- Journal
- Journal of Differential Equations
- Published
- 2024-08-26
- DOI
- https://doi.org/10.1016/j.jde.2024.08.023
- Citations
- 6
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 5.85
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni