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Isoperimetric inequalities for eigenvalues of the Laplacian and the Schr dinger operatorDOI: 10.1007/s13373-011-0017-0 Keywords: Eigenvalues of the Laplacian,Isoperimetric inequalities,Primary 35P15,Secondary 35J05,49R50 Abstract: 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.
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