Regularity of the minimizers in the composite membrane problem in R^2 - Mathematics > Analysis of PDEsReportar como inadecuado




Regularity of the minimizers in the composite membrane problem in R^2 - Mathematics > Analysis of PDEs - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We study the regularity of minimizers to the composite membrane problem inthe plane ie given a domain omega and a positive number A, smaller than themeasure of omega, minimize the first Dirichlet eigenvalue for the Schrodingeroperator with potential equal to a fixed multiple of the characteristicfunction of a subset D of omega, with measure A. We show that for minimizers,the boundary of D is analytic.



Autor: Sagun Chanillo, Carlos E.Kenig, Tung TO

Fuente: https://arxiv.org/







Documentos relacionados