Existence and concentration of ground state solutions for an exponentially critical Choquard equation involving mixed local-nonlocal operators

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Shaoxiong Chen, Min Yang, Zhipeng Yang
DOI: 10.48550/arxiv.2601.03060
Cited by: 0

Abstract

We study the Choquard equation involving mixed local and nonlocal operators \[-\varepsilon^{2}Δu+\varepsilon^{2s}(-Δ)^{s}u+V(x)u=\varepsilon^{μ-2}\left(\frac{1}{|x|^μ}*F(u)\right)f(u)\quad \text{in }\R^{2},\] where \(\varepsilon>0\), \(s\in(0,1)\), \(0

Fields of Study & Subjects

Nonlinear Partial Differential Equations Nonlinear Differential Equations Analysis Numerical methods in inverse problems

Publication details

Journal / source
arXiv (Cornell University)
Publication date
6 January 2026
Document type
Preprint