Volume 26, 2020
|Number of page(s)||20|
|Published online||13 November 2020|
On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result*
Departamento de Matemática e Computação, Fac. de Ciências e Tecnologia, Universidade Estadual Paulista - UNESP,
2 Departamento de Matemática, Universidade Federal de São Carlos, 13565-905 São Carlos, SP, Brazil.
** Corresponding author: firstname.lastname@example.org
Accepted: 10 March 2020
In this paper 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.
Mathematics Subject Classification: 35J35 / 35J91 / 35J92
Key words: Bounded variation functions / 1-biharmonic operator / compactness with symmetry
© EDP Sciences, SMAI 2020
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