@Article{JPDE-37-427,
author = {Yu , Chengwei},
title = {$C^{1,α}$-Regularity for $p$-Harmonic Functions in SU(3)},
journal = {Journal of Partial Differential Equations},
year = {2024},
volume = {37},
number = {4},
pages = {427--466},
abstract = {<p style="text-align: justify;">This artical concerns the $C^{1,α}_{ {\rm loc}}$-regularity of weak solutions $u$ to the degenerate subelliptic $p$-Laplacian equation $$\Delta_{\mathcal{H},p}u(x)=\sum\limits_{i=1}^6X_i^*(|\nabla_{\mathcal{H}}u|^{p-2}X_iu)=0,$$where $\mathcal{H}$ is the orthogonal complement of a Cartan subalgebra in SU(3) with the orthonormal basis composed of the vector fields $X_1,...,X_6.$ When $1&lt;p&lt;2,$ we prove that $∇_{\mathcal{H}}u∈C^α_{{\rm loc}}.$</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v37.n4.5},
url = {http://global-sci.org/intro/article_detail/jpde/23690.html}
}