Nonradial entire solutions for Liouville systems

2017/01/11 by Luca Battaglia, Francesca Gladiali, Battaglia, Luca +3
Engineering · Mathematics · #35E20 #35J47 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1701.02948

openalex publication_date 2017/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the following system of Liouville equations: \\beginarrayll-Δu₁=2e^u₁+μe^u₂&in \mathbb R² -Δu₂=μe^u₁+2e^u₂&in \mathbb R² ∫_{\mathbb R²}e^u₁

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