Nonlocal problems with critical Hardy nonlinearity

2017/11/06 by Wenjing Chen, Sunra Mosconi, Chen, Wenjing +3 · 3 citations
Computer Science · Mathematics · #35J20 #35J60 #47G20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #math.AP #msc:35J20 #msc:35J60 #msc:47G20

paper · pdf · doi:10.48550/arxiv.1711.01854

36 pages, revised version

openalex publication_date 2017/11/06 · arxiv created 2018/02/16 · arxiv updated 2018/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By means of variational methods we establish existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined Sobolev and Hardy nonlinearity at subcritical and critical growth.

Citations

• The Brezis-Nirenberg result for the fractional Laplacian
• A relation between pointwise convergence of functions and convergence of functionals

Cited by

• Mixed double phase equations with local and nonlocal operators
• Asymptotic behaviour and existence of positive solutions for mixed local nonlocal elliptic equations with Hardy potential
• Fractional p-Laplace systems with critical Hardy nonlinearities: Existence and Multiplicity

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