A restricted nonlocal operator bridging together the Laplacian and the fractional Laplacian

DOI10.1007/s00526-020-01896-1zbMath1462.35431arXiv2004.12160OpenAlexW3142803309WikidataQ115386883 ScholiaQ115386883MaRDI QIDQ2663605

Alejandro Ortega, José Carlos Bellido

Publication date: 19 April 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12160

zbMATH Keywords

peridynamic fractional Laplacianvolume constraint problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Methods involving semicontinuity and convergence; relaxation (49J45) Boundary value problems for PDEs with pseudodifferential operators (35S15) Singular nonlinear integral equations (45G05) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Related Items (4)

Boundary regularity of an isotropically censored nonlocal operator ⋮ On a special class of non-local variational problems ⋮ A mixed operator approach to peridynamics ⋮ Spectral stability for the peridynamic fractional \(p\)-Laplacian

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