Extremals for eigenvalues of Laplacians under conformal mapping

DOI10.1006/jfan.1997.3222zbMath0917.47018OpenAlexW2005877992WikidataQ126268448 ScholiaQ126268448MaRDI QIDQ1266252

Carlo Morpurgo, Richard Snyder Laugesen

Publication date: 27 July 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3222

zbMATH Keywords

isoperimetric inequalitiesconformal mapping radiusLaplace equation with Dirichlet boundary conditionszeta-function of Laplacian

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) General theory of partial differential operators (47F05)

Related Items (19)

The spectral estimates for the Neumann-Laplace operator in space domains ⋮ Space quasiconformal mappings and Neumann eigenvalues in fractal type domains ⋮ Monotonicity of the reflected Bessel transition density on the diagonal ⋮ Conformal spectral stability estimates for the Dirichlet Laplacian ⋮ On the Placement of an Obstacle so as to Optimize the Dirichlet Heat Content ⋮ Monotonicity properties of the Neumann heat kernel in the ball ⋮ Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators ⋮ Conformal spectral stability estimates for the Neumann Laplacian ⋮ Two isoperimetric inequalities for the Sobolev constant ⋮ Sums of Laplace eigenvalues-rotationally symmetric maximizers in the plane ⋮ From Steklov to Neumann and Beyond, via Robin: The Szegő Way ⋮ Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian ⋮ Composition operators on Sobolev spaces and Neumann eigenvalues ⋮ On the Placement of an Obstacle So As to Optimize the Dirichlet Heat Trace ⋮ On the first eigenvalue of the degenerate \(p\)-Laplace operator in non-convex domains ⋮ Steklov eigenvalues and quasiconformal maps of simply connected planar domains ⋮ On a discrete version of the Laugesen-Morpurgo conjecture ⋮ Neumann Bessel heat kernel monotonicity ⋮ Sums of free membrane eigenvalues

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