Biharmonic functions with prescribed fine normal derivative on the Martin boundary

DOI10.1007/BF01956316zbMath0641.31004MaRDI QIDQ1100588

Lester L. Helms

Publication date: 1987

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemexistencefine topologyMartin boundaryGreen functionbi-Laplacianfine normal derivativefourth partial derivatives

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Martin boundary theory (31C35)

Related Items (1)

Iterated Brownian motion in an open set.

Cites Work

• A non-probabilistic proof of the relative Fatou theorem
• Boundary properties of functions with finite Dirichlet integrals
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