Isoperimetric bounds for lower-order eigenvalues
Fuquan Fang, Changyu Xia · Pacific Journal of Mathematics · 2022
New isoperimetric inequalities for lower order eigenvalues of the Laplacian on closed hypersurfaces, of the biharmonic Steklov problems and of the Wentzell-Laplace on bounded domains in a Euclidean space are proven. Some open questions for further study are also proposed.