Stability of extremal domains for the first Dirichlet eigenvalue of the Laplacian operator
Ponente: Ivaldo Paz Nunes
Institución: Universidade Federal do Maranhão, Brasil
Tipo de Evento: Investigación, Formación de Recursos Humanos
Institución: Universidade Federal do Maranhão, Brasil
Tipo de Evento: Investigación, Formación de Recursos Humanos
| Cuándo |
14/11/2024 de 12:30 a 13:30 |
|---|---|
| Dónde | Vía ZOOM: https://cuaieed-unam.zoom.us/j/7414769560 |
| Agregar evento al calendario |
vCal
iCal
|
Seminario Conjunto Instituto de Matemáticas y Facultad de Matemáticas de la UADY
A las 12:30 horas de CDMX = 15:30 horas de Maranhão, Brasil
In this talk, we will discuss the concept of stable extremal domains for the first Dirichlet eigenvalue of the Laplacian operator. We will classify the stable extremal domains in the 2-sphere and higher-dimensional spheres when the boundary is minimal. Additionally, we will establish topological bounds for stable domains in general compact Riemannian surfaces, assuming either nonnegative total Gaussian curvature or small volume. This is a joint work with Marcos P. Cavalcante (UFAL).
