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arXiv · 2608.16313

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

Luca Battaglia·Wenshan Luo
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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.

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Luca Battaglia, Wenshan Luo. 2026-08-17. Multi-peak solutions for a critical Choquard problem in dimension 2. https://arxiv.org/abs/2608.16313

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