A note on the global regularity results for strongly nonhomogeneous $p,q$-fractional problems and applications

Abstract

In this article, we communicate with the glimpse of the proofs of new global regularity results for weak solutions to a class of problems involving fractional $(p,q)$-Laplacian, denoted by $(-\Delta )^{s_1}_{p}+(-\Delta )^{s_2}_{q}$, for $s_2, s_1\in (0,1)$ and $1