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• W3210062789 abstract "In this paper, we prove that the Extended Courant Property fails to be true for certain smooth, strictly convex domains with Neumann boundary condition: there exists a linear combination of a second and a first Neumann eigenfunctions, with three nodal domains. For the proof, we revisit a deformation argument of Jerison and Nadirashvili (J. Am. Math. Soc. 13 (2000)). This argument being interesting in itself, we give full details. In particular, we carefully control the dependence of the constants on the geometry of our Lipschitz domains along the deformations." @default.
• W3210062789 created "2021-11-08" @default.
• W3210062789 creator A5020675514 @default.
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• W3210062789 date "2021-10-26" @default.
• W3210062789 modified "2023-10-03" @default.
• W3210062789 title "Level sets of certain Neumann eigenfunctions under deformation of Lipschitz domains Application to the Extended Courant Property" @default.
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• W3210062789 doi "https://doi.org/10.5802/afst.1680" @default.
• W3210062789 hasPublicationYear "2021" @default.
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