Green function and Dirichlet spectrum.

Abstract: In this talk, we show that the first eigenvalue $\lambda_1(\Omega)$ of the Laplacian of a bounded domain with smooth boundary can be obtained by S. Sato's iteration scheme of the Green operator. We also prove an identity relating the radial eigenvalues of a geodesic ball centered at the origin $B_r$ for a model manifold $M_h^n$ of an isoperimetric quotient.

These results are joint work with Vicent Gimeno (Casteló, Spain) and Luquesio Jorge (UFC, Brazil).

Mathematics

Audience: researchers in the topic

Seminario de Geometría y Física - Matemática UCN-USP