Banca de DEFESA: Gabriel de Medeiros Nogueira

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : Gabriel de Medeiros Nogueira
DATE: 24/08/2022
TIME: 10:00
LOCAL: Departamento de Matemática
TITLE:

Solutions for a class of semilinear elliptic equations with undefined nonlinearity

KEY WORDS:

Indefinite problems, Variational methods, Semilinear elliptic problems.

PAGES: 126
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Análise
SPECIALTY: Análise Funcional Não-Linear
SUMMARY:

In this work, we study the existence of positive solutions for a class of semilinear elliptic equations with indefinite nonlinearity. More specifically, based on the article by Alama and Tarantello (1993), we study the problem where Ω is a bounded domain of , N ≥ 3, λ and γ are real parameters, W ∊ (Ω) is a function that changes sign in Ω and f ∊ (). With the aid of variational techniques and a bifurcation theorem, we establish the existence, non- existence and multiplicity of positive solutions to the above problem, as a function of the parameter λ.

BANKING MEMBERS:
Presidente - 1858575 - MANUELA CAETANO MARTINS DE REZENDE
Interno - 2307366 - MARCELO FERNANDES FURTADO
Interno - 2570378 - RICARDO RUVIARO
Externa à Instituição - SANDRA IMACULADA MOREIRA NETO - UEMA