Isoperimetric Bounds on the Lowest Nonzero Stekloff Eigenvalue for Plane Strip Domains
Lewis T. Wheeler, Cornelius O. Horgan · SIAM Journal on Applied Mathematics · 1976
Upper and lower bounds on the lowest nonzero Stekloff eigenvalue are established for domains bounded by a pair of parallel curves and a pair of straight segments that meet the curved parts at right angles. These bounds, which are isoperimetric in a limiting sense associated with the thickness tending to zero, are used to deduce an asymptotic expression appropriate to thin domains.