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The Dirichlet Laplacian on finely open sets

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Publication:1286333
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DOI10.1023/A:1008630909423zbMath0926.31004MaRDI QIDQ1286333

Bent Fuglede

Publication date: 24 November 1999

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


zbMATH Keywords

Green's functioneigenvaluesDirichlet Laplaciandomain dependencefine domain


Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Eigenvalue problems for linear operators (47A75) Fine potential theory; fine properties of sets and functions (31C40) Variational methods for second-order elliptic equations (35J20)


Related Items (7)

Semilinear elliptic systems with measure data ⋮ On compactness of the ∂̄-Neumann operator on Hartogs domains ⋮ Compactness in the \(\overline\partial\)-Neumann problem, magnetic Schrödinger operators, and the Aharonov-Bohm effect ⋮ Semi-classical analysis of Schrödinger operators and compactness in the \(\bar\partial\)-Neumann problem ⋮ Continuous domain dependence of the eigenvalues of the Dirichlet Laplacian and related operators in Hilbert space ⋮ Some aspects of Property for ⋮ Right Markov processes and systems of semilinear equations with measure data




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