Peer-reviewedCC BYNonlinear Analysis
Local and global C1,β-regularity for uniformly elliptic quasilinear equations of p-Laplace and Orlicz-Laplace type
Abstract
We establish gradient Hölder continuity for solutions to quasilinear, uniformly elliptic equations, including p-Laplace and Orlicz-Laplace type operators. We revisit and improve upon the results existing in the literature, proving gradient regularity both in the interior and up to the boundary, under Dirichlet or Neumann boundary conditions.
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BibTeX
@article{antonini2026local,
title = {{Local and global C1,β-regularity for uniformly elliptic quasilinear equations of p-Laplace and Orlicz-Laplace type}},
author = {Carlo Alberto Antonini},
journal = {Nonlinear Analysis},
year = {2026},
month = aug,
doi = {10.1016/j.na.2026.114266},
url = {https://doi.org/10.1016/j.na.2026.114266},
note = {CC BY},
}
RIS
TY - JOUR
TI - Local and global C1,β-regularity for uniformly elliptic quasilinear equations of p-Laplace and Orlicz-Laplace type
AU - Carlo Alberto Antonini
PY - 2026
DA - 2026/08/27
JO - Nonlinear Analysis
DO - 10.1016/j.na.2026.114266
UR - https://doi.org/10.1016/j.na.2026.114266
AB - We establish gradient Hölder continuity for solutions to quasilinear, uniformly elliptic equations, including p-Laplace and Orlicz-Laplace type operators. We revisit and improve upon the results existing in the literature, proving gradient regularity both in the interior and up to the boundary, under Dirichlet or Neumann boundary conditions.
SN - 0362-546X
SN - 1873-5215
ER -