Regularity of solutions to degenerate $p$-Laplacian equations

David Cruz-Uribe, Kabe Moen, Virginia Naibo

We prove regularity results for solutions of the equation \[div(< AXu,X u>^{(p-2)/2} AX u) = 0,\] $1<p<\infty$, where $X=(X_1,...,X_m)$ is a family of vector fields satisfying Hörm…