Banca de DEFESA: JOSÉ ARLEN DE BRITO BRAZ

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : JOSÉ ARLEN DE BRITO BRAZ
DATE: 29/04/2022
TIME: 17:00
LOCAL: Ambiente virtual (google meet) https://meet.google.com/ymv-kjgj-rrr
TITLE:

Existence of solution for a class of Schrödinger-Poisson type system without the Ambrosetti-Rabinowitz condition

KEY WORDS:

Elliptic partial differential equations; Schrödinger-Poisson systems; Variational methods; Nehari manifold

PAGES: 89
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

In this work we study the existence of stationary solutions to a problem involving Schrödinger-Poisson type systems. We are interested in obtaining minimum energy solutions using the theory of variational methods applied to nonlinear partial differential equations. The nonlinearities present in our problem do not satisfy the Ambrosetti-Rabinowitz condition, which makes the analysis of Palais-Smale sequences more involved. In particular, to achieve our goals, it is of fundamental importance to use the Mountain Pass Theorem, the Compactness Concentration Lemma and the Nehari manifold method.

BANKING MEMBERS:
Presidente - 3061368 - DIEGO FERRAZ DE SOUZA
Externo à Instituição - ROMILDO NASCIMENTO DE LIMA - UFCG
Interno - 3217414 - RONALDO CESAR DUARTE