Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems

DOI10.1016/j.na.2024.113642zbMATH Open1548.35284MaRDI QIDQ6611129

Hidde Schönberger, Carolin Kreisbeck

Publication date: 26 September 2024

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

localizationfractional and nonlocal Sobolev spacesnatural and Neumann boundary conditionsnonlocal gradientsnonlocal variational problems and PDEs

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Methods involving semicontinuity and convergence; relaxation (49J45) Boundary value problems for PDEs with pseudodifferential operators (35S15) Linear first-order PDEs (35F05) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

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