Banca de DEFESA: MAYKEL ANDERSON SOUZA CARNEIRO DO NASCIMENTO

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : MAYKEL ANDERSON SOUZA CARNEIRO DO NASCIMENTO
DATE: 15/05/2020
TIME: 14:30
LOCAL: ambiente virtual
TITLE:

Existence and multiplicity of positive solutions for a class of elliptic systems


KEY WORDS:

Elliptic systems; Positive solutions; Variational Methods; Penalization Method; Lusternik-Schnirelman category.


PAGES: 204
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

In this work we will show the existence and multiplicity of positive solutions for the following  class of elliptic systems
\begin{equation}
\left\{\begin{array}{lll}
-\epsilon^{2}\Delta{u}+W(x)u=Q_{u}(u,v)  \text{ em } \mathbb{R}^N \\
-\epsilon^{2}\Delta{v}+V(x)v=Q_{v}(u,v) \text{ em } \mathbb{R}^N \\
u,v\in H^{1}(\mathbb{R}^N), u(x), v(x)>0 \text{ para todo } x\in \mathbb{R}^N \end{array}\right.
\tag{$S_{\epsilon}$}
\end{equation}
where $\epsilon>0$ is a parameter, $N \geq 3,$ $W, ~ V:\mathbb{R}^{N}\rightarrow \mathbb{R}$ are positive Hölder continuous functions and $Q:\mathbb{R}^2\rightarrow \mathbb{R}$ is a function of class $C^{2}$ with subcritical growth. The main tools used are Variational Methods, Penalization Method, Maximum Principle and Lusternik-Schnirelman Category.


BANKING MEMBERS:
Presidente - 1332434 - AILTON RODRIGUES DA SILVA
Interno - 3061368 - DIEGO FERRAZ DE SOUZA
Externo à Instituição - ROMILDO NASCIMENTO DE LIMA - UFCG
Notícia cadastrada em: 29/04/2020 22:25
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