Seminario del Departamento de
Ecuaciones Diferenciales y Análisis Numérico

Fecha : 20 de octubre de 2023
Hora  : 11:30
Lugar : Seminario del Departamento (Fac. de Matemáticas, 3a. planta, módulo 34)

Carlos Alberto P. Dos Santos

(Universidad de Brasilia, Brasil)

Resumen

A $p$-Laplacian elliptic problem in the presence of both strong singular and $(p-1)$-superlinear nonlinearities is considered. We employ bifurcation theory, approximation techniques and sub-supersolution method to establish the existence of an unbounded branch of positive solutions, which is bounded in positive $lambda-$direction and bifurcates from infinity at $lambda=0$. As consequence of the bifurcation result, we determine intervals of existence, nonexistence and, in particular cases, global multiplicity. This is s joint work with Professors Lais Santos - UFV and Jacques Giacomoni - Universit'e de Pau et des Pays de l'Adour.