$L^q$ estimates for nonlocal p-Laplacian type equations with BMO kernel coefficients in divergence form

Sun-Sig Byun, Kyeongbae Kim

We study $s$-fractional $p$-Laplacian type equations with discontinuous kernel coefficients in divergence form to establish $W^{s+\sigma ,q}$ estimates for any choice of pairs $(\sigma ,q)$ w…