On the asymptotic analysis of problems involving fractional Laplacian in cylindrical domains tending to infinity

DOI10.1142/S0219199716500358zbMath1372.35041arXiv1509.06697MaRDI QIDQ5354371

Prosenjit Roy, Indranil Chowdhury

Publication date: 1 September 2017

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06697

zbMATH Keywords

weighted estimate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items

On fractional Poincaré inequality for unbounded domains with finite ball conditions: counter example ⋮ Asymptotic behavior of parabolic nonlocal equations in cylinders becoming unbounded ⋮ Anisotropic p-Laplace Equations on long cylindrical domain ⋮ Galerkin method for time fractional diffusion equations ⋮ Study of fractional Poincaré inequalities on unbounded domains ⋮ Asymptotic analysis of the Dirichlet fractional Laplacian in domains becoming unbounded ⋮ Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces ⋮ On the asymptotic behavior of the eigenvalues of nonlinear elliptic problems in domains becoming unbounded ⋮ On some variational problems set on domains tending to infinity

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