Geodesic
An analyticity result for the dependence of multiple eigenvalues and eigenspaces of the laplace operator upon perturbation of the domain
Glasgow mathematical journal, Tome 44 (2002) no. 1, pp. 29-43

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In this paper, we consider the dependence of the Dirichlet eigenvalues and eigenspaces of the Laplace operator upon perturbation of the domain of definition. We prove that the dependence of a certain eigenvalue and of the corresponding eigenspace is analytic on the set of perturbations that leave the multiplicity constant. 
Lamberti, Pier Domenico; Cristoforis, Massimo Lanza de. An analyticity result for the dependence of multiple eigenvalues and eigenspaces of the laplace operator upon perturbation of the domain. Glasgow mathematical journal, Tome 44 (2002) no. 1, pp. 29-43. doi: 10.1017/S0017089502010157
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     title = {An analyticity result for the dependence of multiple eigenvalues and eigenspaces of the laplace operator upon perturbation of the domain},
     journal = {Glasgow mathematical journal},
     pages = {29--43},
     year = {2002},
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