Hadamard's variational formula for simple eigenvalues

Autor:	Suzuki, Takashi, Tsuchiya, Takuya
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs 35J25 35R35
Druh dokumentu:	Working Paper
Popis:	We study Hadamard's variational formula for simple eigenvalues under dynamical and conformal deformations. Particularly, harmonic convexity of the first eigenvalue of the Laplacian under the mixed boundary condition is established for two-dimensional domain, which implies several new inequalities. Comment: submitted
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.04021 Zobrazit plný text záznamu View this record from Arxiv