ИСТИНА

The problem of geometric optimization of the eigenvalues of the Laplace operator goes back to the famous book "The theory of sound" by Lord Rayleigh. The Rayleigh's question was about Finding such a shape of a drum that it produces the lowest possible sound among all the drums of the same area. It turns out that this question and its generalizations are a very important part of Spectral Geometry, connected with many branches of mathematics, including minimal surfaces, classical equations of mathematical physics and many others.