Symmetry, uniqueness and nondegeneracy of positive solutions of the Choquard equation

We study positive solutions \(Q\in H^1(\mathbb R^N)\) of \[-ΔQ+Q=(I_α*Q^p)Q^{p-1},\] where \(I_α\) is the Riesz potential of order \(α\), \(N\ge1\), \(0<α1+α/N\), and \((N-2)p

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-11-02
DOI
https://doi.org/10.48550/arxiv.2611.02980
Primary Topic
Nonlinear Partial Differential Equations
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Symmetry, uniqueness and nondegeneracy of positive solutions of the Choquard equation

Jianjun Zhang, Song Fan, Gui-Dong Li
arXiv (Cornell University)
Nonlinear Partial Differential Equations
preprint

Symmetry, uniqueness and nondegeneracy of positive solutions of the Choquard equation

Jianjun Zhang, Song Fan, Gui-Dong Li
preprint en

Abstract

We study positive solutions \(Q\in H^1(\mathbb R^N)\) of \[-ΔQ+Q=(I_α*Q^p)Q^{p-1},\] where \(I_α\) is the Riesz potential of order \(α\), \(N\ge1\), \(0<α1+α/N\), and \((N-2)p

arXiv (Cornell University)
Nonlinear Partial Differential Equations
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon
Symmetry, uniqueness and nondegeneracy of positive solutions of the Choquard equation — Jianjun Zhang, Song Fan, et al. · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS