Remarks on regularity for $p$-Laplacian type equations in non-divergence form

Amal Attouchi, Eero Ruosteenoja

We study a singular or degenerate equation in non-divergence form modeled by the $p$-Laplacian, $$-|Du{|}^{\gamma }\left(\Delta u+(p-2){\Delta }_{\infty }^{N}u\right)=f\text{in}\Omega .$$ We investiga…