Semilinear elliptic equations for the fractional Laplacian with Hardy potential

TL;DR

This paper investigates the existence and nonexistence of nonnegative solutions to semilinear fractional elliptic equations with Hardy potential, expanding understanding of such equations in mathematical analysis.

Contribution

It provides new results on the conditions for existence and nonexistence of solutions for fractional elliptic equations with Hardy potential.

Findings

Conditions for existence of solutions identified

Conditions for nonexistence established

Enhanced understanding of fractional elliptic equations with Hardy potential

Abstract

In this paper we study existence and nonexistence of nonnegative distributional solutions for a class of semilinear fractional elliptic equations involving the Hardy potential.