Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity

Kamel Saoudi, Sekhar Ghosh, Debajyoti Choudhuri

In this paper, we prove the existence of multiple solutions for a nonlinear nonlocal elliptic PDE involving a singularity which is given as \begin{eqnarray} (-Δ_p)^s u&=& \fracλ{u^…