On fractional Orlicz-Sobolev spaces
type: Item
instance of: scholarly article
title: On fractional Orlicz-Sobolev spaces
zbMATH Open document ID: 1477.46039
author: Angela Alberico
author: Andrea Cianchi
author: Luboš Pick
author: Lenka Slavíková
published in: Analysis and Mathematical Physics
publication date: 2021-06-07T00:00:00Z
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 46-02
zbMATH DE Number: 7355860
zbMATH Keywords: fractional Orlicz-Sobolev spaces
zbMATH Keywords: Sobolev embeddings
zbMATH Keywords: compact embeddings
zbMATH Keywords: limits of fractional seminorms
zbMATH Keywords: Orlicz spaces
zbMATH Keywords: rearrangement-invariant spaces
MaRDI profile type: Publication
full work available at URL: s13324-021-00511-6
OpenAlex ID: W3139193245
cites work: On the limit as \(s\rightarrow 0^+\) of fractional Orlicz-Sobolev spaces
cites work: Symmetric Decreasing Rearrangement Is Sometimes Continuous
cites work: Q4312128
cites work: Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces
cites work: Maximizers for Gagliardo-Nirenberg inequalities and related non-local problems
cites work: Q3159214
cites work: Limiting embedding theorems for \(W^{s,p}\) when \(s\uparrow 1\) and applications
cites work: Strong approximation of fractional Sobolev maps
cites work: On fractional Hardy inequalities in convex sets
cites work: A note on homogeneous Sobolev spaces of fractional order
cites work: Gagliardo-Nirenberg inequalities and non-inequalities: the full story
cites work: Where Sobolev interacts with Gagliardo-Nirenberg
cites work: On the distributional Jacobian of maps from \(\mathbb{S}^N\) into \(\mathbb{S}^N\) in fractional Sobolev and Hölder spaces
cites work: Curves and surfaces with constant nonlocal mean curvature: meeting Alexandrov and Delaunay
cites work: Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
cites work: Nonlocal minimal surfaces
cites work: Uniform estimates and limiting arguments for nonlocal minimal surfaces
cites work: Asymptotic behaviours in fractional Orlicz-Sobolev spaces on Carnot groups
cites work: Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations
cites work: Limit of fractional power Sobolev inequalities
cites work: The Dirichlet problem for the logarithmic Laplacian
cites work: Remainder terms in the fractional Sobolev inequality
cites work: A sharp embedding theorem for Orlicz-Sobolev spaces
cites work: Boundedness of solutions to variational problems under general growth conditions
cites work: Higher-order Sobolev and Poincaré inequalities in Orlicz spaces
cites work: On Best Constants for Limiting Embeddings of Fractional Sobolev Spaces
cites work: On an open question about functions of bounded variation.
cites work: A Pólya–Szegö principle for general fractional Orlicz–Sobolev spaces
cites work: Fractional Hardy–Sobolev–Maz'ya inequality for domains
cites work: Characterizations for fractional Hardy inequality
cites work: Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces
cites work: Fractional order Orlicz-Sobolev spaces
cites work: Isoperimetry and stability properties of balls with respect to nonlocal energies
cites work: Sharp trace Hardy-Sobolev-Maz'ya inequalities and the fractional Laplacian
cites work: Minimizers for the fractional Sobolev inequality on domains
cites work: Sobolev imbedding theorems in borderline cases
cites work: Monotonicity of certain functionals under rearrangement
cites work: On the equivalence of fractional-order Sobolev semi-norms
cites work: Nonlocal self-improving properties
cites work: Anisotropic fractional Sobolev norms
cites work: Extremals for fractional order Hardy-Sobolev-Maz'ya inequality
cites work: Asymptotics for optimizers of the fractional Hardy–Sobolev inequality
cites work: Sobolev Spaces
cites work: On the Brezis and Mironescu conjecture concerning a Gagliardo--Nirenberg inequality for fractional Sobolev norms.
cites work: On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
cites work: Theory of Sobolev Multipliers
cites work: A note on truncations in fractional Sobolev spaces
cites work: Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
cites work: On the Moser-Trudinger inequality in fractional Sobolev-Slobodeckij spaces
cites work: The Pohozaev identity for the fractional Laplacian
cites work: Boundary regularity for fully nonlinear integro-differential equations
cites work: Hardy inequalities in fractional Orlicz-Sobolev spaces
cites work: Embeddings for spaces of Lorentz-Sobolev type
cites work: Sharp trace Hardy-Sobolev inequalities and fractional Hardy-Sobolev inequalities
cites work: Q5547919

On fractional Orlicz-Sobolev spaces (cites work)
cites work: Q4908994

On fractional Orlicz-Sobolev spaces (cites work)
cites work: Q5520312

On fractional Orlicz-Sobolev spaces (cites work)
cites work: Fractional Sobolev extension and imbedding

On fractional Orlicz-Sobolev spaces (DOI)
DOI: 10.1007/S13324-021-00511-6

On fractional Orlicz-Sobolev spaces (Recommended article)
Recommended article: On fractional Orlicz‑Sobolev spaces
Similarity Score: 1.0
Recommender Run: Recommender Run 3

On fractional Orlicz-Sobolev spaces (Recommended article)
Recommended article: Fractional order Orlicz-Sobolev spaces
Similarity Score: 0.97574097
Recommender Run: Recommender Run 3

On fractional Orlicz-Sobolev spaces (Recommended article)
Recommended article: On a class of nonvariational problems in fractional Orlicz-Sobolev spaces
Similarity Score: 0.95035875
Recommender Run: Recommender Run 3

On fractional Orlicz-Sobolev spaces (Recommended article)
Recommended article: Fractional Orlicz-Sobolev embeddings
Similarity Score: 0.9491149
Recommender Run: Recommender Run 3

On fractional Orlicz-Sobolev spaces (Recommended article)
Recommended article: Orlicz-Morrey spaces and fractional operators
Similarity Score: 0.9466793
Recommender Run: Recommender Run 3

On fractional Orlicz-Sobolev spaces (Recommended article)
Recommended article: Boundedness of functions in fractional Orlicz-Sobolev spaces
Similarity Score: 0.9431536
Recommender Run: Recommender Run 3

On fractional Orlicz-Sobolev spaces (Recommended article)
Recommended article: Embedding theorems on the fractional Orlicz-Sobolev spaces
Similarity Score: 0.94078743
Recommender Run: Recommender Run 3

On fractional Orlicz-Sobolev spaces (Recommended article)
Recommended article: Basic results of fractional Orlicz-Sobolev space and applications to non-local problems
Similarity Score: 0.9404725
Recommender Run: Recommender Run 3

On fractional Orlicz-Sobolev spaces (Recommended article)
Recommended article: On the limit as \(s\rightarrow 0^+\) of fractional Orlicz-Sobolev spaces
Similarity Score: 0.93952346
Recommender Run: Recommender Run 3

On fractional Orlicz-Sobolev spaces (Recommended article)
Recommended article: Fractional maximal operator in Orlicz spaces
Similarity Score: 0.9380858
Recommender Run: Recommender Run 3