On some isoperimetric inequalities involving eigenvalues of symmetric free membranes

Cristian Enache, Gérard A. Philippin · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2014

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.

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