Shimakura, Norio La premiere valeur propre du Laplacien pour le problème de Dirichlet. (French) Zbl 0483.35069 Journ. Équ. Dériv. Partielles, Saint-Jean-de-Monts 1981, Exp. No. 14 bis, 9 p. (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 35P99 Spectral theory and eigenvalue problems for partial differential equations 35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation Keywords:first eigenvalue; Dirichlet problem; local deformations of the domain; Hadamard variation formula Citations:Zbl 0468.00008 PDFBibTeX XML Full Text: Numdam EuDML