Seminario del Departamento de
Ecuaciones Diferenciales y Análisis Numérico

Fecha : 17 de febrero de 2016
Hora  : 11:30
Lugar : Seminario del Departamento (Fac. de Matemáticas, 3a. planta, módulo 34)

Giovany M. Figueiredo

(Universidad Federal de Pará, Belem, Brasil)

Resumen

We investigate the existence of ground states for functionals with nonhomogenous principal part. Roughly speaking, we show that the Nehari manifold method requires no homogeneity on the principal part of a functional. This result is motivated by some elliptic problems involving nonhomogeneous operators. As an application, we prove the existence of a ground state and infinitely many solutions for three classes of boundary value problems.