The Boundary Harnack principle for nonlocal elliptic operators in non-divergence form

DOI10.1007/s11118-018-9713-7OpenAlexW2536255283WikidataQ129657007 ScholiaQ129657007MaRDI QIDQ2334554

Joaquim Serra, Xavier Ros-Oton

Publication date: 7 November 2019

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

Full work available at URL: https://arxiv.org/abs/1610.05666

zbMATH Keywords

Boundary Harnackintegro-differential elliptic equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Integro-differential operators (47G20) Comparison principles in context of PDEs (35B51)

Related Items (8)

Non-symmetric stable operators: regularity theory and integration by parts ⋮ The normal derivative lemma and surrounding issues ⋮ Boundary regularity of an isotropically censored nonlocal operator ⋮ The Dirichlet problem for nonlocal elliptic operators with $C^{0,\alpha }$ exterior data ⋮ On the Harnack inequality for antisymmetric \(s\)-harmonic functions ⋮ A note on the monotonicity of solutions for fractional equations in half-spaces ⋮ Decay rate of harmonic functions for non-symmetric strictly $\alpha $-stable Lévy processes ⋮ Bounds on the Green function for integral operators and fractional harmonic measure with applications to boundary Harnack

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