Existence of solutions to elliptic equations involving regional fractional Laplacian with order $(0,\frac{1}{2}]$

Huyuan Chen, Huihuan Peng, Yanqing Sun

Our purpose of this paper is to investigate positive solutions of the elliptic equation with regional fractional Laplacian $$ ( - Δ)_{B_1}^s u +u= h(x,u) \quad {\rm in} \ \, B_1,\…