Conformal spectral stability estimates for the Dirichlet Laplacian

DOI10.1002/mana.201400253zbMath1330.47058arXiv1406.4340OpenAlexW1853533874MaRDI QIDQ3465955

Alexander Ukhlov, Vladimir Gol'dshtein, Victor I. Burenkov

Publication date: 29 January 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.4340

zbMATH Keywords

eigenvalue problemconformal mappingselliptic equationsquasidiscs

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for linear operators (47A75) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05)

Related Items (16)

Estimates for variation of the first Dirichlet eigenvalue of the Laplace operator ⋮ The spectral estimates for the Neumann-Laplace operator in space domains ⋮ On the first eigenvalues of free vibrating membranes in conformal regular domains ⋮ Space quasiconformal mappings and Neumann eigenvalues in fractal type domains ⋮ Spectral estimates of the \(p\)-Laplace Neumann operator in conformal regular domains ⋮ Conformal spectral stability estimates for the Neumann Laplacian ⋮ Sobolev mappings and moduli inequalities on Carnot groups ⋮ NECESSARY AND SUFFICIENT CONDITIONS OF COMPACTNESS OF CERTAIN EMBEDDINGS OF SOBOLEV SPACES ⋮ Spectral stability estimates of Dirichlet divergence form elliptic operators ⋮ Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian ⋮ Composition operators on Sobolev spaces and Neumann eigenvalues ⋮ Spectral estimates of the \(p\)-Laplace Neumann operator and Brennan's conjecture ⋮ On the first eigenvalue of the degenerate \(p\)-Laplace operator in non-convex domains ⋮ On conformal spectral gap estimates of the Dirichlet–Laplacian ⋮ Spectral properties of the Neumann-Laplace operator in quasiconformal regular domains ⋮ Weak regularity of degenerate elliptic equations

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