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Teoria do grau topológico e sua aplicação em um problema elíptico ressonante superlinear
(Universidade Federal de São Carlos, 2015-08-13)
In this work, we will show an important tool of nonlinear analysis, which has great
applicability in partial differential equations: the topological degree theory. We will
construct the topological degree in finite and ...
Existência e multiplicidade de soluções para uma classe de problemas envolvendo operadores fracionários
(Universidade Federal de São Carlos, 2019-08-14)
In this work, we study existence and multiplicity of weak solutions for three problems involving fractional operators, with emphasis on critical growth nonlinearities. The first problem deals with the existence of sign-changing ...