caa a22 4500 463245830 CHVBK 20180405153325.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s00009-007-0128-8 doi (NATIONALLICENCE)springer-10.1007/s00009-007-0128-8 A Real Analyticity Result for Symmetric Functions of the Eigenvalues of a Domain-Dependent Neumann Problem for the Laplace Operator [Elektronische Daten] [Pier Lamberti, Massimo de Cristoforis] Abstract.: Let Ω be an open connected subset of $${\mathbb{R}}^{n}$$ for which the imbedding of the Sobolev space W 1,2(Ω) into the space L 2(Ω) is compact. We consider the Neumann eigenvalue problem for the Laplace operator in the open subset $$\phi$$ (Ω) of $${\mathbb{R}}^{n}$$ , where $$\phi$$ is a Lipschitz continuous homeomorphism of Ω onto $$\phi$$ (Ω). Then we prove a result of real analytic dependence for symmetric functions of the eigenvalues upon variation of $$\phi$$ . Birkhaueser, 2007 Neumann eigenvalue and eigenvector nationallicence Laplace operator nationallicence domain perturbation nationallicence special nonlinear operator nationallicence Lamberti Pier Dipartimento di Matematica Pura ed Applicata, Università di Padova, Via Trieste 63, 35121, Padova, Italy aut de Cristoforis Massimo Dipartimento di Matematica Pura ed Applicata, Università di Padova, Via Trieste 63, 35121, Padova, Italy aut Mediterranean Journal of Mathematics SP Birkhäuser Verlag Basel 4/4(2007-12-01), 435-449 1660-5446 4:4<435 2007 4 9 https://doi.org/10.1007/s00009-007-0128-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00009-007-0128-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lamberti Pier Dipartimento di Matematica Pura ed Applicata, Università di Padova, Via Trieste 63, 35121, Padova, Italy aut NATIONALLICENCE 700 1- de Cristoforis Massimo Dipartimento di Matematica Pura ed Applicata, Università di Padova, Via Trieste 63, 35121, Padova, Italy aut NATIONALLICENCE 773 0- Mediterranean Journal of Mathematics SP Birkhäuser Verlag Basel 4/4(2007-12-01), 435-449 1660-5446 4:4<435 2007 4 9 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer