Higher Hölder regularity for the fractional $p$-Laplace equation in the subquadratic case

Prashanta Garain, Erik Lindgren

We study the fractional $p$-Laplace equation $$(-{\Delta }_p{)}^{s}u=0$$ for $0<s<1$ and in the subquadratic case $1<p<2$. We provide Hölder estimates with an explicit Hölder exponent. Th…