Workshop on Pdes 2022 - Pimenta

On a quasilinear elliptic problem involving the 1−biharmonic operator and a Strauss type compactness result

Prof. Marcos Pimenta
Universidade Estadual Paulista

Date: 16th February 14:30 pm - 15:15 pm (UTC -3) Link: PPGM/UFSCar Youtube channel

Abstract: In this work we prove 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.