Optimal boundary regularity and a Hopf-type lemma for Dirichlet problems involving the logarithmic Laplacian

DOI10.3934/dcds.2024084zbMATH Open1547.35796MaRDI QIDQ6598503

Luis Fernando López-Ríos, Víctor Hernández-Santamaría, Alberto Saldaña

Publication date: 5 September 2024

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Kelvin transformHopf lemmauniqueness by convexity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for PDEs with pseudodifferential operators (35S15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• The Dirichlet problem for the logarithmic Laplacian
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• Nonlocal operators of small order
• Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods
• Classical solutions to integral equations with zero order kernels
• The Cauchy problem associated to the logarithmic Laplacian with an application to the fundamental solution

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