Spectral stability of the Dirichlet-Laplacian in two-connected domains

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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On the first eigenvalues of free vibrating membranes in conformal regular domains
Degree of summability of the generalized derivatives of quasiconformal homeomorphisms
Area distortion of quasiconformal mappings
Moduli of families of curves for conformal and quasiconformal mappings
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Spectral stability estimates of Dirichlet divergence form elliptic operators
Sobolev homeomorphisms and Brennan's conjecture
The spectral estimates for the Neumann-Laplace operator in space domains
Spectral stability of Dirichlet second order uniformly elliptic operators
Conformal spectral stability estimates for the Neumann Laplacian
Conformal spectral stability estimates for the Dirichlet Laplacian
Weighted Sobolev spaces and embedding theorems
Eigenvalues of the Laplacian in Two Dimensions
Eigenvalues of the Laplacian on inhomogeneous membranes
ON GEOMETRIC PROPERTIES OF FUNCTIONS WITH GENERALIZED FIRST DERIVATIVES
Stability Estimates for Resolvents, Eigenvalues, and Eigenfunctions of Elliptic Operators on Variable Domains
On conformal spectral gap estimates of the Dirichlet–Laplacian
Sobolev Spaces
Superposition operators in Sobolev spaces

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