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Persistence of Eigenvalues and Multiplicity in the Dirichlet Problem for the Laplace Operator on Nonsmooth Domains |
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| Authors: | Pier Domenico Lamberti Massimo Lanza de Cristoforis |
| Affiliation: | (1) Dipartimento di Matematica Pura ed Applicata, Università di Padova, Via Belzoni 7, 35131 Padova, Italy |
| Abstract: | We consider the Dirichlet 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 perturbations which leave the multiplicity of an eigenvalue unchanged, and we study the set of perturbations which leave a certain eigenvalue unchanged. |
| Keywords: | Dirichlet eigenvalues and eigenfunctions domain perturbation Laplace operator special nonlinear operators |
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