Regularity Results of the Thin Obstacle Problem for the $p(x)$-Laplacian
Analysis of PDEs
2018-01-23 v3
Abstract
We study thin obstacle problems involving the energy functional with -growth. We prove higher integrability and H\"{o}lder regularity for the gradient of minimizers of the thin obstacle problems under the assumption that the variable exponent is H\"{o}lder continuous.
Keywords
Cite
@article{arxiv.1801.01770,
title = {Regularity Results of the Thin Obstacle Problem for the $p(x)$-Laplacian},
author = {Sun-sig Byun and Ki-ahm Lee and Jehan Oh and Jinwan Park},
journal= {arXiv preprint arXiv:1801.01770},
year = {2018}
}
Comments
19 pages