Mass and Asymptotics associated to Fractional Hardy-Schrödinger Operators in Critical Regimes

2017/04/27 by Nassif Ghoussoub, Ghoussoub, Nassif, Frédéric Robert +5 · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1704.08658

openalex publication_date 2017/04/27 · openalex created_date 2017/05/12 · openalex updated_date 2026/07/28

Abstract

We consider linear and non-linear boundary value problems associated to the fractional Hardy-Schrödinger operator L_γ,α: = (- Δ)^\fracα2- \fracγ|x|^α on domains of ℝⁿ containing the singularity 0, where 0

Citations

• A relation between pointwise convergence of functions and convergence of functionals

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• Asymptotic behaviour and existence of positive solutions for mixed local nonlocal elliptic equations with Hardy potential

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