The Dirichlet problem in domains with lower dimensional boundaries

DOI10.4171/rmi/1208zbMath1466.35112arXiv1810.06805OpenAlexW3091848380MaRDI QIDQ2031503

Svitlana Mayboroda, Joseph Feneuil, Zihui Zhao

Publication date: 9 June 2021

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.06805

zbMATH Keywords

Dirichlet problemcomplex coefficientsdegenerate elliptic operatorsMoser-type estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70)

Related Items (9)

A change of variable for Dahlberg-Kenig-Pipher operators ⋮ The Green function with pole at infinity applied to the study of the elliptic measure ⋮ Carleson perturbations for the regularity problem ⋮ The regularity problem in domains with lower dimensional boundaries ⋮ The \(p\)-ellipticity condition for second order elliptic systems and applications to the Lamé and homogenization problems ⋮ A new elliptic measure on lower dimensional sets ⋮ Traces on General Sets in ${R}^n$ for Functions with no Differentiability Requirements ⋮ The 𝐿^{𝑝} Dirichlet boundary problem for second order elliptic Systems with rough coefficients ⋮ The L^p Dirichlet and regularity problems for second order elliptic systems with application to the Lamé system

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