Liouville theorems for a general class of nonlocal operators

DOI10.1007/s11118-016-9546-1zbMath1346.35210arXiv1504.00419OpenAlexW2964241124MaRDI QIDQ300449

Mouhamed Moustapha Fall, Tobias Weth

Publication date: 28 June 2016

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00419

zbMATH Keywords

Liouville theoremnonlocal elliptic equationsanisotropic operator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Linear symmetric and selfadjoint operators (unbounded) (47B25) Singular elliptic equations (35J75) Fractional partial differential equations (35R11)

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Cites Work

• Large \(s\)-harmonic functions and boundary blow-up solutions for the fractional Laplacian
• Unique continuation properties for relativistic Schrödinger operators with a singular potential
• Regularity theory for general stable operators
• Radial fractional Laplace operators and Hessian inequalities
• Inversion of fractional integrals related to the spherical Radon transform
• Gradient estimates for harmonic and \(q\)-harmonic functions of symmetric stable processes.
• Some Liouville theorems for the fractional Laplacian
• Entire $s$-harmonic functions are affine
• Model equations for waves in stratified fluids
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