• Teoria do grau topológico e sua aplicação em um problema elíptico ressonante superlinear 

      Gabert, Rodrigo de Freitas; http://lattes.cnpq.br/1113124124946591 (Universidade Federal de São Carlos, UFSCar, Programa de Pós-graduação em Matemática, Câmpus São Carlos, 13/08/2015)
      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 ...
    • Equações elípticas singulares envolvendo o expoente crítico de Caffarelli-Kohn-Nirenberg e funções peso mudando de sinal 

      Guimarães, Mateus Balbino; http://lattes.cnpq.br/2453670728817949 (Universidade Federal de São Carlos, UFSCar, Programa de Pós-graduação em Matemática, Câmpus São Carlos, 15/02/2012)
      In this work we will study the existence of nonnegative nontrivial weak solutions to singular elliptic equations involving the critical Caffarelli-Kohn- Nirenberg exponent and sign-changing functions. For this purpose, ...
    • Problemas elípticos não lineares envolvendo equações do tipo Kirchhoff 

      Guimarães, Mateus Balbino; http://lattes.cnpq.br/2453670728817949 (Universidade Federal de São Carlos, UFSCar, Programa de Pós-graduação em Matemática, Câmpus São Carlos, 21/03/2016)
      In this work we study the existence of weak solutions for four nonlinear elliptic problems of Kirchhoff type. These problems have in common the presence of a function M : R+ [ f0g ! R+; known as Kirchhoff-type function. ...
    • Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent 

      Juárez Hurtado, Elard; http://lattes.cnpq.br/0455290275199042 (Universidade Federal de São Carlos, UFSCar, Programa de Pós-graduação em Matemática, Câmpus São Carlos, 05/12/2016)
      We study the existence and multiplicity of nontrivial solutions for two classes of elliptic problems. The first problem covers a general class of operators with variables exponents where the nonlinearitv has subcritical ...