Banca de QUALIFICAÇÃO: MAYKEL ANDERSON SOUZA CARNEIRO DO NASCIMENTO

Uma banca de QUALIFICAÇÃO de MESTRADO foi cadastrada pelo programa.
STUDENT : MAYKEL ANDERSON SOUZA CARNEIRO DO NASCIMENTO
DATE: 28/01/2020
TIME: 17:00
LOCAL: Sala de Seminários do DMAT
TITLE:

Existence, multiplicity and concentration of positive solutions for a class of elliptic system through  Penalization methods

KEY WORDS:

Sobolev spaces; Variational methods; Moutain pass theore; Penalization methods Lusternik-Schnirelman of category; Maximum Principle, Positive solution

PAGES: 140
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

In recent years, the existence of solutions with finite energy ( bound states ) of the stationary

nonlinear Schrödinger equation has been extensively investigated, such equations are related with different phisycs models, for example plasms physics, they are related with the existence of standing waves of the nonlinear Schrödinger equation (NLS), mainly in the semiclassical. In that work, basead in Alves, Figueiredo and Furtado (2009) and motivated by the results and methods developed by Del Pino and Felmer (1996), of the scalar equation, it is developed a penalization method for the energy functional associated to a type gradient systems. We study the existence, multiplicity and concentration of positive solutions  for system and obtain results analogous to that of the scalar equation. The main tools used are Variational methods,  Moutain pass theorem,  Lusternik-Schnirelman of category, Penalization methods , Maximum Principle  properties of Sobolev spaces.

BANKING MEMBERS:
Presidente - 1332434 - AILTON RODRIGUES DA SILVA
Interno - 3061368 - DIEGO FERRAZ DE SOUZA
Externo ao Programa - 3064162 - GEILSON FERREIRA GERMANO