Local linking and its applications to indefinite Schrodinger type equations Nas últimas duas décadas, as equações não lineares do tipo Schrödinger, como os sistemas de Schrödinger- Poisson, as equações de Schrödinger-Kirchhoff e as equações quasilineares de Schrödinger, têm atraído grande interesse no campo da análise não linear.Shibo Liu - Xiamen University em 18/02/2022 Abstract In the last two decades, nonlinear Schrodinger type equations, such as Schrodinger- Poisson systems, Schrodinger-Kirchhoff equations and quasilinear Schrodinger equations, have captured great interests in the field on nonlinear analysis. Most of the results re- quire that the Schrodinger operator is positive definite, so that the zero function is a local minimizer of the variational functional and the mountain pass theorem applies.We are interested in the case that the Schrodinger operator is indefinite. It turns out that un- like semilinear Schrodinger equations, the classical minimax theorems such as the linking theorem, are also not applicable. We found that the concept of local linking introduced by Shujie Li and Jiaquan Liu in the 1980’s, is suitable for this kind of problems. In this talk I will present our recent results for such problems, obtained by applying local linking theory and Morse theory. Local e Data Tema: Local linking and its applications to indefinite Schrodinger type equationsPalestrante: Shibo Liu - Xiamen University Data: 18/02/2022 Secretaria Fale ConoscoRoteiros e ProcedimentosSolicitaçõesTelefones e e-mail Seminários Álgebra Análise Ensino Geometria Mecânica Sistemas Dinâmicos Teoria da Computação Teoria da Probabilidade Teoria dos Números