On an integral equation of Lieb

2015/08/13 by Ronen Peretz, Peretz, Ronen
Mathematics · #42B20 #45E10 #45G05 #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1508.03274

openalex publication_date 2015/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the weakly singular, non-linear convolution integral equation ∫_ℝⁿ|x-y|^-λf(y)dy=f(x)^p-1, where 0

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