An isoperimetric inequality for eigenvalues of the Stekloff problem

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 81, Issue 1, 2001, Pages 69-71

  Brock, F ^a  

^a UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

Eigenvalue problem; Harmonic function; Isoperimetric inequality

Indexed keywords

EID: 0141579436     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/1521-4001(200101)81:1<69::aid-zamm69>3.0.co;2-%23     Document Type: Article

References (7)

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3. HERSCH, J.; PAYNE, L. E.: Extremal principles and isoperimetric inequalities for some mixed problems of Stekloff's type. Z. Angew. Math. Phys. 19 (1968), 802-817.
4. STEKLOFF, M. W.: Sur les problèmes fondamentaux de la physique mathématique. Ann. Sci. Ecole Norm. Sup. 19 (1902), 455-490.
5. SZEGÖ, G.: Inequalities for certain eigenvalues of a membrane of given area. J. Rat. Mech. Anal. 3 (1954), 343-356.
6. WEINBERGER, H.: An isoperimetric inequality for the n-dimensional free membrane problem. J. Rat. Mech. Anal. 5 (1956), 633-636.
7. WEINSTOCK, R.: Inequalities for a classical eigenvalue problem. J. Rat. Mech. Anal. 3 (1954), 745-753.