Inequalities for membrane and Stekloff eigenvalues

An optimal Poincaré inequality for convex domains

L. E. Payne, Hans F. Weinberger · Archive for Rational Mechanics and Analysis · 1960 · 652 citations

Engineering, Variational Analysis, Convex Optimization +3

Isoperimetric Inequalities and Their Applications

L. E. Payne · SIAM Review · 1967 · 379 citations

Integral Geometry, Spectral Theory, Engineering +4

Inequalities for Certain Eigenvalues of a Membrane of Given Area

Gábor Szegő · Indiana University Mathematics Journal · 1954 · 245 citations · Full text

Spectral Theory, Certain Eigenvalues

An Isoperimetric Inequality for the N-Dimensional Free Membrane Problem

Hans F. Weinberger · Indiana University Mathematics Journal · 1956 · 216 citations · Full text

Mathematical Programming, Geometric Partial Differential Equation, Free Boundary Problem +2

Inequalities for a Classical Eigenvalue Problem

Robert Weinstock · Indiana University Mathematics Journal · 1954 · 175 citations · Full text

Spectral Theory, Engineering, Semidefinite Programming +4