Potential characterizations of fractional polar sets

DOI10.1016/J.JMAA.2024.128536zbMATH Open1548.31014MaRDI QIDQ6597308

Lei Zhang, Shaoguang Shi, Guo-liang Li

Publication date: 3 September 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

fractional Sobolev spacefractional capacityfractional harmonic function

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Fractional partial differential equations (35R11)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• On fractional capacities relative to bounded open Lipschitz sets
• Nonlocal Harnack inequalities
• Hitchhiker's guide to the fractional Sobolev spaces
• Fractional Sobolev, Moser-Trudinger, Morrey-Sobolev inequalities under Lorentz norms
• Fractional capacities relative to bounded open Lipschitz sets complemented
• Perron's method and Wiener's theorem for a nonlocal equation
• Homogeneous endpoint Besov space embeddings by Hausdorff capacity and heat equation
• Fine topology methods in real analysis and potential theory
• Strong type estimates for homogeneous Besov capacities
• Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations
• Some notes on supersolutions of fractional \(p\)-Laplace equation
• Fractional Fourier transforms on \(L^p\) and applications
• Global regularity results for non-homogeneous growth fractional problems
• Embeddings of function spaces via the Caffarelli-Silvestre extension, capacities and Wolff potentials
• Fractional non-linear regularity, potential and balayage
• Fine boundary regularity for the degenerate fractional \(p\)-Laplacian
• The logarithmic Sobolev capacity
• The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets
• Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations
• The obstacle problem for nonlinear integro-differential operators
• Anisotropic Sobolev Capacity with Fractional Order
• Dual characterization of fractional capacity via solution of fractional p‐Laplace equation
• The Wiener criterion for nonlocal Dirichlet problems
• Riesz transform associated with the fractional Fourier transform and applications in image edge detection
• Fractional Fourier Transforms Meet Riesz Potentials and Image Processing

This page was built for publication: Potential characterizations of fractional polar sets

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6597308)