On fractional Poincaré inequality for unbounded domains with finite ball conditions: counter example

DOI10.1016/j.na.2022.113189OpenAlexW4312002378MaRDI QIDQ2683021

Indranil Chowdhury, Prosenjit Roy

Publication date: 3 February 2023

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

Full work available at URL: https://arxiv.org/abs/2001.04441

zbMATH Keywords

unbounded domainsasymptotic behaviourfractional Laplacianfractional Poincaré inequalityfractional-Sobolev spacesinfinite strips like domainseigenvalue problem for PDEs

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Inequalities involving derivatives and differential and integral operators (26D10) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Integro-partial differential equations (35R09)

Related Items (3)

Remarks on the fractional Moser-Trudinger inequality ⋮ Anisotropic p-Laplace Equations on long cylindrical domain ⋮ Existence results for fractional Brezis-Nirenberg type problems in unbounded domains

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