Banca de DEFESA: Daniel Raom Santiago Bezerra Costa da Silva

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : Daniel Raom Santiago Bezerra Costa da Silva
DATE: 21/09/2022
TIME: 16:00
LOCAL: Departamento de Matemática
TITLE:

A mini-max algorithm for semilinear elliptic problems

KEY WORDS:

mountain pass theorem, Pohozaev identity, calculus of variations, nonlinear analysis, algorithm.

PAGES: 117
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Análise
SPECIALTY: Equações Diferenciais Parciais
SUMMARY:

We study a general nonlinear elliptic problem in Rnand prove, by means of a variational structure of the problem, the existence of a ground state solution (of minimal energy), which is also the minimum of the functional constrained to the Pohozaev manifold. This minimum coincides the mountain pass level since the associated functional possesses the necessary geometry. We then propose and implement an algorithm for finding numerical ground state solutions for a wide class of elliptic problems in Rn, and provide several examples for which this new method can be applied.

BANKING MEMBERS:
Externo à Instituição - DAVID GOLDSTEIN COSTA
Presidente - 6403787 - LILIANE DE ALMEIDA MAIA
Interno - 2570378 - RICARDO RUVIARO
Interno - 1700664 - YURI DUMARESQ SOBRAL