Gradient regularity for non-autonomous functionals with Dini or non-Dini continuous coefficients
| dc.contributor.author | Baroni, Paolo | |
| dc.contributor.author | Coscia, Alessandra | |
| dc.date.accessioned | 2023-05-15T20:19:40Z | |
| dc.date.available | 2023-05-15T20:19:40Z | |
| dc.date.issued | 2022-11-23 | |
| dc.description.abstract | We prove C1 regularity for local vectorial minimizers of the non-autonomous functional w ∈ W1,1 loc (Ω; ℝN) ↦ ∫Ω b(x)[|Dw|p log(e + |Dw|)]dx, with Ω open subset of Rn, n≥2 , p>1, 0≤a(.)≤ | |
| dc.description.abstract | a | |
| dc.description.abstract | L∞(Ω)<∞, and 0<ν≤b(.)≤ L. The result is valid provided that the function a(.) is log-Dini continuous and that the coefficient b(.) is Dini continuous or it is weakly differentiable and its gradient locally belongs to the Lorentz space Ln,1(Ω;Rn). | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 30 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Baroni, P., & Coscia, A. (2022). Gradient regularity for non-autonomous functionals with Dini or non-Dini continuous coefficients. Electronic Journal of Differential Equations, 2022(80), pp. 1-30. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16804 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | non-autonomous functionals | |
| dc.subject | gradient continuity | |
| dc.subject | dini continuous coefficients | |
| dc.title | Gradient regularity for non-autonomous functionals with Dini or non-Dini continuous coefficients | |
| dc.type | Article |