BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Extremum problems for Laplacian eigenvalues and a Generalized Polya Conjecture Lin, Fang-Hua


In this lecture I shall discuss a simple class of extremum problems for the Laplacian Dirichlet eigenvalues on an Euclidian do- main and its connection to a generalized version of the Polya Conjec- ture. This would be an introductory lecture in which various classical and elementary properties of the Laplacian Dirichlet eigenvalues will be reviewed. Then we shall describe a few relatively recent progress on a class of extremum problems associated with these eigenvalues and its connections to the classical Polya conjecture.

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