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