Work

Multi-peak solutions for a critical Choquard problem in dimension 2

Year: 2026

Type: preprint

Abstract: We consider a Choquard problem in a smooth bounded domain in the plane. We show the existence of solutions which concentrate at a finite number of points. Up to our knowledge, this is the first existence result for concentrating solutions for Choquard-type problems in planar domains.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.16313

Authors: Battaglia, Luca, Luo, Wenshan

Institutions: Roma Tre University, Southwest University

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Southwest University

Awards: G2971504390, G8097609347

OpenAlex ID: W7203690873

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