Spectral properties of the logarithmic Laplacian

DOI10.1007/s13324-021-00527-yzbMath1476.35153arXiv2009.03395OpenAlexW3174498787MaRDI QIDQ2238321

Tobias Weth, A. A. Laptev

Publication date: 1 November 2021

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

Full work available at URL: https://arxiv.org/abs/2009.03395

zbMATH Keywords

weakly singular integral operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Fractional partial differential equations (35R11)

Related Items

Small order asymptotics for nonlinear fractional problems ⋮ Small order asymptotics of the Dirichlet eigenvalue problem for the fractional Laplacian ⋮ Small order limit of fractional Dirichlet sublinear-type problems ⋮ Solvability in the sense of sequences for some non-Fredholm operators with the logarithmic Laplacian ⋮ Solvability in the sense of sequences for some logarithmic Schrödinger operators in higher dimensions ⋮ The eigenvalue problem for the regional fractional Laplacian in the small order limit ⋮ Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian ⋮ Symmetry of positive solutions for Lane-Emden systems involving the logarithmic Laplacian ⋮ The logarithmic Schrödinger operator and associated Dirichlet problems

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