An obstacle problem for nonlocal equations in perforated domains

DOI10.1007/s11118-017-9639-5zbMath1398.45001OpenAlexW2729209808WikidataQ111288197 ScholiaQ111288197MaRDI QIDQ1745342

Julio D. Rossi, Marcone Corrêa Pereira

Publication date: 17 April 2018

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-017-9639-5

zbMATH Keywords

Dirichlet problemobstacle problemnonlocal equationNeumann problemperforated domain

Mathematics Subject Classification ID

Variational inequalities (49J40) Asymptotics of solutions to integral equations (45M05) Linear integral equations (45A05)

Related Items

Mixing local and nonlocal evolution equations, Nonlocal and nonlinear evolution equations in perforated domains, Homogenization for nonlocal problems with smooth kernels, Nonlocal problems in perforated domains

Cites Work

• Force flux and the peridynamic stress tensor
• Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
• Random homogenization of fractional obstacle problems
• Random homogenization of an obstacle problem
• Homogenization in open sets with holes
• Potential and scattering theory on wildly perturbed domains
• On the principal eigenvalue of some nonlocal diffusion problems
• How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems
• Homogenization of nonlinear Dirichlet problems in random perforated domains
• The Periodic Unfolding Method in Domains with Holes
• Fractional decay bounds for nonlocal zero order heat equations
• Uniform Equicontinuity for a Family of Zero Order Operators Approaching the Fractional Laplacian
• A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
• Nonlocal problems in perforated domains
• On the Dirichlet problem for second-order elliptic integro-differential equations
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