Kawohl, B. When are superharmonic functions concave? Applications to the St. Venant torsion problem and to the fundamental mode of the clamped membrane. (English) Zbl 0581.73006 Z. Angew. Math. Mech. 64, No. 5, T364-T366 (1984). The author examines properties of superharmonic functions. He discusses the implications in the St. Venant torsion problem, in the clamped membrane, and in problems involving starshapedness. A number of theorems and proofs are presented. The paper is carefully written. It is concise. It should be of interest to both elasticians and mathematicians. Reviewer: R.L.Huston Cited in 1 ReviewCited in 5 Documents MSC: 74G50 Saint-Venant’s principle 52A10 Convex sets in \(2\) dimensions (including convex curves) 74K15 Membranes Keywords:superharmonic functions; St. Venant torsion problem; clamped membrane; starshapedness PDF BibTeX XML Cite \textit{B. Kawohl}, Z. Angew. Math. Mech. 64, T364--T366 (1984; Zbl 0581.73006) Full Text: DOI References: [1] Fan, Amer. Math. Monthly 60 pp 48– (1953) [2] ; , Inequalities, Berlin-Göttingen-Heidelberg 1961. [3] Heinrich, ZAMM 63 pp 65– (1983) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.