The Dirichlet Problem For the Logarithmic p-Laplacian

Bartłomiej Dyda, Sven Jarohs, Firoj Sk

We introduce and study the logarithmic $p$-Laplacian $L_{{\Delta }_p}$, which emerges from the formal derivative of the fractional $p$-Laplacian $(-{\Delta }_p{)}^s$ at $s=0$. This operator is nonlo…