D. Ye

Comparison principles and symmetry for subquadratic fractional $p$-Laplacian equations

This paper establishes a new comparison principle framework for the subquadratic fractional $p$-Laplacian, i.e.~$1<p<2$ under minimal regularity assumptions, that has remained a significant challenging issue due to the singularity of the operator. Our results provide the essential analytical tools required for the movi...