Carleson measure estimates and the Dirichlet problem for degenerate elliptic equations

DOI10.2140/apde.2019.12.2095zbMath1435.35148arXiv1711.04896OpenAlexW2769358510MaRDI QIDQ2279789

Andrew J. Morris, Phi Le, Steven Hofmann

Publication date: 13 December 2019

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.04896

zbMATH Keywords

Dirichlet problemharmonic measureRadon-Nikodym derivativeCarleson measuredivergence form elliptic equations\(A_2\) Muckenhoupt weights

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Degenerate elliptic equations (35J70)

Related Items (7)

The Dirichlet problem for elliptic operators having a BMO anti-symmetric part ⋮ Dirichlet problem for Schrödinger equation with the boundary value in the BMO space ⋮ Absolute continuity of the harmonic measure on low dimensional rectifiable sets ⋮ On the caloric functions with BMO traces and their limiting behaviors ⋮ The Green function with pole at infinity applied to the study of the elliptic measure ⋮ Harmonic functions with BMO traces and their limiting behaviors on metric measure spaces ⋮ Regularity and Neumann problems for operators with real coefficients satisfying Carleson conditions

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