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

Prof. Marcos Pimenta
Universidade Estadual Paulista

Abstract: In this work we prove the compactness of the embeddings of the space of radially symmetric functions of BL(R^N) into some Lebesgue spaces. In order to do so we prove a regularity result for solutions of the Poisson equation with measure data in R^N, as well as a version of the Radial Lemma of Strauss to the space BL(R^N). An application is presented involving a quasilinear elliptic problem of higher-order, where variational methods are used to find the solutions.