Payne, L. E.; Philippin, G. A. Isoperimetric inequalities in the torsion and clamped membrane problems for convex plane domains. (English) Zbl 0521.73056 SIAM J. Math. Anal. 14, 1154-1162 (1983). MSC: 74H45 74K15 49R50 × Cite Format Result Cite Review PDF Full Text: DOI
Acker, A.; Payne, L. E.; Philippin, G. On the convexity of level lines of the fundamental mode in the clamped membrane problem, and the existence of convex solutions in a related free boundary problem. (English) Zbl 0508.73051 Z. Angew. Math. Phys. 32, 683-694 (1981). MSC: 74K15 35R35 35B20 35B50 × Cite Format Result Cite Review PDF Full Text: DOI