A generalization of the method of interior parallels, and isoperimetric inequalities for membranes with partially free boundaries

DOI10.1016/0022-247X(72)90232-6zbMath0233.52007MaRDI QIDQ2551267

Catherine Bandle

Publication date: 1972

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items

Local isoperimetric inequalities for sectors on surfaces and cones ⋮ Isoperimetric inequalities for sectors in the Minkowski 2-spacetime

Cites Work

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• Some isoperimetric inequalities for membrane frequencies and torsional rigidity
• The method of interior parallels applied to polygonal or multiply connected membranes
• Extremaleigenschaften von Kreissektoren und Halbkugeln. (Extremal properties of sectors of a circle and hemispheres)
• Isoperimetrische Ungleichungen für Bereiche auf Flächen
• On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
• On the principal frequency of a convex membrane and related problems
• Geodesic Parallel Coordinates in the Large