Bibliographic Details
| Title: |
Gradient regularity for double-phase orthotropic functionals. |
| Authors: |
Almi, Stefano1 (AUTHOR) stefano.almi@unina.it, Leone, Chiara1 (AUTHOR) chileone@unina.it, Manzo, Gianluigi1 (AUTHOR) gianluigi.manzo@unina.it |
| Source: |
Communications in Contemporary Mathematics. Sep2026, p1. 38p. |
| Subject Terms: |
*Calculus of variations, *Lipschitz continuity, *Sobolev spaces, *Holder spaces, *Smoothness of functions |
| Abstract: |
In this paper, we prove higher integrability for local minimizers of the double-phase orthotropic functional ∑i=1n ∫Ω(|uxi|p + a(x)|u xi|q)dx when the weight function a ≥ 0 is assumed to be α-Hölder continuous, while the exponents p,q are such that 2 ≤ p ≤ q and q p < 1 + α n. Under natural Sobolev regularity of a, we further obtain explicit Lipschitz regularity estimates for local minimizers. [ABSTRACT FROM AUTHOR] |
| Database: |
Academic Search Index |