Classification of isolated singularities of positive solutions for Choquard equations

2015/12/10 by Huyuan Chen, Feng Zhou, Chen, Huyuan +1 · 2 citations
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1512.03181

openalex publication_date 2015/12/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
• Classification of isolated singularities of nonnegative solutions to fractional semi-linear elliptic equations and the existence results

Cited by

• Isolated singularities for elliptic equations with convolution terms in a punctured ball
• Isolated Singularities for Fractional Hartree Equations

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