Classification of isolated singularities of positive solutions for Choquard equations

TL;DR

This paper classifies isolated singularities of positive solutions to Choquard equations and proves the existence of such singular solutions, advancing understanding of their behavior near singular points.

Contribution

It provides a comprehensive classification of isolated singularities and establishes the existence of solutions with these singularities for Choquard equations.

Findings

Classification of isolated singularities achieved

Existence of isolated singular solutions proven

Enhanced understanding of solution behavior near singularities

Abstract

In this paper we classify the isolated singularities of positive solutions to Choquard equation and prove the existence of isolated singular solutions.