Add to ORKGWe consider the eigenvalue problem of the Laplacian (Neumann B.C.) in the domain which has a very thin subregion. We give an elaborate characterization of the asymptotics of theeigenvalues and the eigenfunctions.The perturbation formulas take various forms depending on the type ofthe eigenvalue and geometric situations (dimension, shape)
We calculate the main asymptotic terms for eigenvalues, both simple and multiple, and eigenfunctions...
We study the dependence of the eigenvalues of the p-Laplacian upon domain perturbation. We prove Lip...
AbstractWe consider the vibrations of a bundle composed of two co-linear rods. The thickness of the ...
We consider the eigenvalue problem of the Laplacian (Neumann B.C.) in the domain which has a very th...
This chapter is concerned with the behavior of the eigenvalues and eigenfunctions of the Laplace ope...
Let Omega subset of R-n be a bounded domain. We perturb it to a domain Omega(epsilon) attaching a fa...
Let Omega subset of R-n be a bounded domain. We perturb it to a domain Omega(epsilon) attaching a fa...
AbstractWe consider the Laplace operator with Dirichlet boundary conditions on a domain in Rd and st...
AbstractWe consider an asymptotic spectral problem for a second order differential operator, with pi...
We calculate the main asymptotic terms for eigenvalues, both simple and multiple, and eigenfunctions...
We consider a spectral problem for the Laplacian operator in a planar T-like shaped thin structure Ω...
We consider a spectral problem for the Laplacian operator in a planar T-like shaped thin structure Ω...
Let Ω be a bounded domain in Rn (n ≥ 2). We perturb it to a domain Ωε attaching a family of small do...
We consider a spectral problem for the Laplacian operator in a planar T-like shaped thin structure Ω...
We consider a spectral problem for the Laplacian operator in a planar T-like shaped thin structure Ω...
We calculate the main asymptotic terms for eigenvalues, both simple and multiple, and eigenfunctions...
We study the dependence of the eigenvalues of the p-Laplacian upon domain perturbation. We prove Lip...
AbstractWe consider the vibrations of a bundle composed of two co-linear rods. The thickness of the ...
We consider the eigenvalue problem of the Laplacian (Neumann B.C.) in the domain which has a very th...
This chapter is concerned with the behavior of the eigenvalues and eigenfunctions of the Laplace ope...
Let Omega subset of R-n be a bounded domain. We perturb it to a domain Omega(epsilon) attaching a fa...
Let Omega subset of R-n be a bounded domain. We perturb it to a domain Omega(epsilon) attaching a fa...
AbstractWe consider the Laplace operator with Dirichlet boundary conditions on a domain in Rd and st...
AbstractWe consider an asymptotic spectral problem for a second order differential operator, with pi...
We calculate the main asymptotic terms for eigenvalues, both simple and multiple, and eigenfunctions...
We consider a spectral problem for the Laplacian operator in a planar T-like shaped thin structure Ω...
We consider a spectral problem for the Laplacian operator in a planar T-like shaped thin structure Ω...
Let Ω be a bounded domain in Rn (n ≥ 2). We perturb it to a domain Ωε attaching a family of small do...
We consider a spectral problem for the Laplacian operator in a planar T-like shaped thin structure Ω...
We consider a spectral problem for the Laplacian operator in a planar T-like shaped thin structure Ω...
We calculate the main asymptotic terms for eigenvalues, both simple and multiple, and eigenfunctions...
We study the dependence of the eigenvalues of the p-Laplacian upon domain perturbation. We prove Lip...
AbstractWe consider the vibrations of a bundle composed of two co-linear rods. The thickness of the ...