Higher Hölder regularity for fractional $(p,q)$-Laplace equations

Prashanta Garain, Erik Lindgren

We study the fractional $(p,q)$-Laplace equation $$(-\hat{I}{”}_p{)}^{s}u+(-\hat{I}{”}_q{)}^{t}u=0$$ for $s,t\in (0,1)$ and $p,q\in (1,\infty )$. We establish Hölder estimates with an explicit exponen…