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On some isoperimetric inequalities involving eigenvalues of symmetric free membranes
Author(s) -
Enache Cristian,
Philippin Gérard A.
Publication year - 2015
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201300211
Subject(s) - isoperimetric inequality , eigenvalues and eigenvectors , mathematics , isoperimetric dimension , symmetry (geometry) , pure mathematics , order (exchange) , lipschitz continuity , inequality , mathematical analysis , geometry , physics , quantum mechanics , finance , economics
This paper deals with the eigenvalues of the Neumann Laplacian on simply‐connected Lipschitz planar domains with some rotational symmetry. Our aim is to continue the investigations from Enache and Philippin [7] and derive new isoperimetric estimates for eigenvalues of higher order.