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Asymptotic property of an eigenfunction of the Laplacian under singular variation of domains---the Neumann condition

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01403880openalex-snapshot
Random media and eigenvalues of the Laplacian
inferredcites →https://doi.org/10.1007/bf02825640openalex-snapshot
Convexity of domain functionals
inferredcites →https://doi.org/10.1007/bfb0082920openalex-snapshot
Partial Differential Equations
inferredcites →https://doi.org/10.1016/0022-1236(75)90028-2openalex-snapshot
Potential and scattering theory on wildly perturbed domains
inferredcites →https://doi.org/10.3792/pjaa.58.190openalex-snapshot
Spectra of domains with small spherical Neumann boundary

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Asymptotic expansions for eigenvalues in the presence of small inhomogeneities
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Asymptotic behavior for eigenvalues and eigenfunctions associated to Stokes operator in the presence of a rapidly oscillating boundary
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Homogenization of singular numbers for a non self-adjoint elliptic problem in a perforated domain
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Asymptotics for eigenvalues of the Laplacian in higher dimensional periodically perforated domains
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Asymptotics of solutions to the spectral elasticity problem for a two-dimensional body with a small cavern
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Meso-Scale Approximations of Fields Around Clusters of Defects
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Geometric lower bounds for the spectrum of elliptic PDEs with Dirichlet conditions in part
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On the lowest eigenvalue of the Laplacian with Neumann boundary condition at a small obstacle
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Optimizing the principal eigenvalue of the Laplacian in a sphere with interior traps
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Electromagnetic scattering by small dielectric inhomogeneities
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Averaging of a semilinear elliptic spectral problem in a varying domain
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Asymptotic property and convergence estimation for the eigenelements of the Laplace operator
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A gap in the spectrum of the Neumann–Laplacian on a periodic waveguide
inferred← citeshttps://doi.org/10.1090/s0002-9947-10-04695-7openalex-snapshot
Layer potential techniques in spectral analysis. Part I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions
inferred← citeshttps://doi.org/10.1098/rsta.2021.0392openalex-snapshot
Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions
inferred← citeshttps://doi.org/10.1137/19m1274651openalex-snapshot
Wave Enhancement Through Optimization of Boundary Conditions
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On the asymptotic formulas for perturbations in the eigenvalues of the Stokes equations due to the presence of small deformable inclusions
inferred← citeshttps://doi.org/10.1619/fesi.62.285openalex-snapshot
Bifurcating Solutions of a Nonlinear Elliptic Neumann Problem on Large Spherical Caps
inferred← citeshttps://doi.org/10.18910/7188openalex-snapshot
Singular variation of domain and spectra of the Laplacian with small Robin conditional boundary I
inferred← citeshttps://doi.org/10.2996/kmj/1138039602openalex-snapshot
The Hadamard variational formula for the ground state value of $-\Delta u=łambda\vert u\vert^{p-1}u$
inferred← citeshttps://doi.org/10.2996/kmj/1138039651openalex-snapshot
Nonlinear eigenvalue problem and singular variation of domains
inferred← citeshttps://doi.org/10.2996/kmj/1138039657openalex-snapshot
Singular variation of domain and spectra of the Laplacian with small Robin conditional boundary. II.
inferred← citeshttps://doi.org/10.2996/kmj/1414674613openalex-snapshot
Eigenvalues of the Laplace-Beltrami operator on a large spherical cap under the Robin problem
inferred← citeshttps://doi.org/10.3233/asy-2002-512openalex-snapshot
Asymptotic formulas for perturbations in the eigenfrequencies of the full Maxwell equations due to the presence of imperfections of small diameter
inferred← citeshttps://doi.org/10.3233/asy-2009-0976openalex-snapshot
On the spectrum of the Neumann problem for Laplace equation in a domain with a narrow slit
inferred← citeshttps://doi.org/10.3934/dcds.2020040openalex-snapshot
Eigenvalues of the Laplace-Beltrami operator under the homogeneous Neumann condition on a large zonal domain in the unit sphere
inferred← citeshttps://doi.org/10.4171/zaa/1429openalex-snapshot
Singular Perturbations of Curved Boundaries in Three Dimensions. The Spectrum of the Neumann Laplacian
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