Robust nonlocal trace and extension theorems

We prove trace and extension results for Sobolev-type function spaces that are well suited for nonlocal Dirichlet and Neumann problems including those for the fractional p-Laplacian.Our results are robust with respect to the order of differentiability.In this sense they align with the classical trace and extension theorems.

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Publication Details

Journal
Analysis & PDE
Published
2025-11-04
DOI
https://doi.org/10.2140/apde.2025.18.2367
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

Robust nonlocal trace and extension theorems

Florian Grube, Moritz Kaßmann
Analysis & PDE
Fixed Point Theorems Analysis
article

Robust nonlocal trace and extension theorems

Florian Grube, Moritz Kaßmann
article en

Abstract

We prove trace and extension results for Sobolev-type function spaces that are well suited for nonlocal Dirichlet and Neumann problems including those for the fractional p-Laplacian.Our results are robust with respect to the order of differentiability.In this sense they align with the classical trace and extension theorems.

Analysis & PDEVol. 18(10)
Bielefeld University (DE)
Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 61%
Fixed Point Theorems Analysis
DOIOpen Access PDFOpenAlex
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Robust nonlocal trace and extension theorems — Florian Grube, Moritz Kaßmann · Analysis & PDE (2025) | TGRS Research Map | TGRS