A strongly indefinite Choquard equation with critical exponent due to the Hardy-Littlewood-Sobolev inequality

2017/02/17 by Fashun Gao, Gao, Fashun, Minbo Yang +1
Mathematics · #35J20 #35J60 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1702.05287

openalex publication_date 2017/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we are concerned with the following nonlinear Choquard equation -Δu+V(x)u =(∫_ℝ^N(G(y,u))/(|x-y|^μ)dy)g(x,u)\hspace4.14mmin\hspace1.14mm ℝ^N, where N≥4, 0

Citations

• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• On Gravity's role in Quantum State Reduction

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