$C^{1,\alpha }$ regularity for the normalized $p$-Poisson problem

Amal Attouchi, Mikko Parviainen, Eero Ruosteenoja

We consider the normalized $p$-Poisson problem $$-{\Delta }_p^{N}u=f\text{in}\Omega .$$ The normalized $p$-Laplacian ${\Delta }_p^{N}u:=|Du{|}^{2-p}{\Delta }_{p}u$ is in non-divergence form and arise…