Sur la premiere fonction propre d'une membrane: une extension à N dimensions de l'inégalité isoperimetrique de Payne-Rayner

DOI10.1007/BF01601680zbMath0379.73071MaRDI QIDQ1247227

Marie-Therese Kohler-Jobin

Publication date: 1977

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Mathematics Subject Classification ID

Membranes (74K15) Lattices and convex bodies (number-theoretic aspects) (11H06)

Related Items (11)

Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds ⋮ Two isoperimetric inequalities for the Sobolev constant ⋮ Some applications of the chambers isoperimetric inequality ⋮ Isoperimetric monotonicity and isoperimetric inequalities of Payne-Rayner type for the first eigenfunction of the Helmholtz problem ⋮ Lower bounds of Cheeger-Osserman type for the first eigenvalue of the n- dimensional fixed membrane problem ⋮ Isoperimetric inequalities for a wedge-like membrane ⋮ Isoperimetric bounds for the first eigenvalue of the Laplacian ⋮ A reverse Hölder inequality for extremal Sobolev functions ⋮ Chiti-type reverse Hölder inequality and torsional rigidity under integral Ricci curvature condition ⋮ A reverse Hölder inequality for the eigenfunctions of linear second order elliptic operators ⋮ On a reverse Hölder inequality for Schrödinger operators

Cites Work

• An isoperimetric inequality for the first eigenfunction in the fixed membrane problem
• Some isoperimetric norm bounds for solutions of the Helmholtz equation
• Unnamed Item

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