Asymptotic analysis of the Dirichlet fractional Laplacian in domains becoming unbounded

DOI10.1016/j.jmaa.2020.123845zbMath1435.35405arXiv1910.11611OpenAlexW2998771749WikidataQ126383785 ScholiaQ126383785MaRDI QIDQ2304303

Lorenzo Freddi, Vincenzo Ambrosio, Roberta Musina

Publication date: 9 March 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.11611

zbMATH Keywords

variational methodsasymptotic analysis\(\Gamma\)-convergencefractional Laplacian

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Variational methods for eigenvalues of operators (49R05) Fractional partial differential equations (35R11)

Related Items

Fractional Calderón problems and Poincaré inequalities on unbounded domains ⋮ On fractional Poincaré inequality for unbounded domains with finite ball conditions: counter example ⋮ Asymptotic behavior of parabolic nonlocal equations in cylinders becoming unbounded ⋮ Existence results for fractional Brezis-Nirenberg type problems in unbounded domains ⋮ Study of fractional Poincaré inequalities on unbounded domains ⋮ On the asymptotic behavior of the eigenvalues of nonlinear elliptic problems in domains becoming unbounded ⋮ Well-posedness of Tricomi-Gellerstedt-Keldysh-type fractional elliptic problems

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