# Fractional Sobolev inequalities associated with singular problems

## TL;DR

This paper investigates Sobolev inequalities related to singular problems involving the fractional p-Laplacian operator within bounded domains, contributing to the understanding of fractional Sobolev spaces and singular differential operators.

## Contribution

It introduces new Sobolev inequalities tailored for singular problems with the fractional p-Laplacian, expanding the theoretical framework for these operators.

## Key findings

- Established fractional Sobolev inequalities for singular problems
- Extended classical inequalities to fractional p-Laplacian context
- Provided mathematical tools for analyzing singular fractional PDEs

## Abstract

In this paper we consider Sobolev inequalities associated with singular problems for the fractional $p$-Laplacian operator in a bounded domain of $\mathbb{R}^{N}$, $N\geq 2$.