We consider the Neumann eigenvalue problem for the Laplace operator on a variable nonsmooth domain. We extend a result of Lupo and Micheletti concerning the structure of the set of domain deformations which leave the multiplicity of an eigenvalue unchanged, and we study the set of deformations which leave a certain eigenvalue unchanged.
Persistence of eigenvalues and multiplicity in the Neumann problem for the Laplace operator on nonsmooth domains
LAMBERTI, PIER DOMENICO;LANZA DE CRISTOFORIS, MASSIMO
2005
Abstract
We consider the Neumann eigenvalue problem for the Laplace operator on a variable nonsmooth domain. We extend a result of Lupo and Micheletti concerning the structure of the set of domain deformations which leave the multiplicity of an eigenvalue unchanged, and we study the set of deformations which leave a certain eigenvalue unchanged.File in questo prodotto:
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