COLOQUIO CEPMCA: On a quasilinear elliptic problem involving the 1−Biharmonic operator and a Strauss type compactness result

  • Expositor : Dr. Elard Juárez Hurtado
  • Institución : Universidade de Brasília-UnB (Brasil)
  • F echa : Miércoles 16 de septiembre de 2020
  • Lugar : Zoom meeting (ID 946 8445 9192, Password 953711)
  • Enlace : https://reuna.zoom.us/j/94684459192?pwd=ZXdsQmY4S3gyZXFBVzY4TmlNSVV5QT09
  • Hora : 18:10 PM -19:00 PM (Santiago Time).

Abstract. In this talk, we will present the compactness of the embeddings of the space of radially symmetric functions of
BL(RN ) into some Lebesgue spaces. In order to do so, we prove a regularity result for solutions of the Poisson equation
with measure data in RN, as well as a version of the Radial Lemma of Strauss to the space BL(RN ). An application is
presented involving a quasilinear elliptic problem of higher-order, where variational methods are used to find the solutions.
These results were obtained in collaboration with Marcos T. O. Pimenta (Universidade Estadual Paulista-Unesp, Brasil)
and Olimpio H. Miyagaki (Universidade Federal de São Carlos-UFSCar, Brasil).

  • Informaciones: marriag@ubiobio.cl
  • Auspiciadores: Dirección de Postgrado-UBB. Departamento de Matemática UBB.