Weak Comparison Principle for Weighted Fractional p-Laplacian Equation

الملخص EN

The aim of this paper is to establish a weak comparison principle for a class fractional p-Laplacian equation with weight.

The nonlinear term fx,s>0 is a Carathéodory function which is possibly unbounded both at the origin and at infinity and such that fx,ss1−p decreases with respect to s for a.e.

x∈Ω.