Global bifurcation for fractional $p$-Laplacian and application

Leandro M. Del Pezzo, Alexander Quaas

We prove the existence of an unbounded branch of solutions to the non-linear non-local equation $$ (-Δ)^s_p u=λ|u|^{p-2}u + f(x,u,λ) \quad\text{in}\quad Ω,\quad u=0 \quad\text{in}\…