On a class of nonlocal problems with fractional gradient constraint

2022/02/07 by Aline Lima de Azevedo, Azevedo, A., José Francisco Rodrigues +3 · 1 citation
Mathematics · #26A33 #35J62 #49J40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Primary 35R11 #Secondary 35J86

paper · pdf · doi:10.48550/arxiv.2202.03017

openalex publication_date 2022/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We consider a Hilbertian and a charges approach to fractional gradient constraint problems of the type |D^σu|≤ g, involving the distributional fractional Riesz gradient D^σ, 0

Cited by

• Lagrange multipliers and characteristic functions

Related

• On nonlocal variational and quasi-variational inequalities with\n fractional gradient
• Nonlocal Lagrange multipliers and transport densities
• Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems
• Nonlocal gradients in bounded domains motivated by Continuum Mechanics: Fundamental Theorem of Calculus and embeddings
• Fractional elliptic problems with nonlinear gradient sources and measures