The Dirichlet problem without the maximum principle

DOI10.5802/aif.3257zbMath1427.35013arXiv1803.07357OpenAlexW2963266800WikidataQ127707508 ScholiaQ127707508MaRDI QIDQ2421925

A. F. M. ter Elst, Wolfgang Arendt

Publication date: 18 June 2019

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.07357

zbMATH Keywords

Dirichlet problemLaplace operatorWiener regularity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Hölder kernel estimates for Robin operators and Dirichlet-to-Neumann operators ⋮ On the strong maximum principle for a fractional Laplacian ⋮ Jordan chains of elliptic partial differential operators and Dirichlet-to-Neumann maps ⋮ Strict positivity for the principal eigenfunction of elliptic operators with various boundary conditions ⋮ Operators with continuous kernels

Cites Work

• Estimates of harmonic measure
• Vector-valued holomorphic functions revisited
• The Dirichlet-to-Neumann operator via hidden compactness
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• The Dirichlet problem by variational methods
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