%0 Journal Article %T Isoperimetric inequalities for eigenvalues of the Laplacian and the Schr dinger operator %A Rafael D. Benguria %A Helmut Linde %A Benjam¨ªn Loewe %J Bulletin of Mathematical Sciences %@ 1664-3615 %D 2012 %I Springer %R 10.1007/s13373-011-0017-0 %X The purpose of this manuscript is to present a series of lecture notes on isoperimetric inequalities for the Laplacian, for the Schr dinger operator, and related problems. %K Eigenvalues of the Laplacian %K Isoperimetric inequalities %K Primary 35P15 %K Secondary 35J05 %K 49R50 %U http://link.springer.com/article/10.1007/s13373-011-0017-0