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

Autor(es)

Hurtado, Elard J. ^[1] ; Pimenta, Marcos T. O. ^[1] ; Miyagaki, Olimpio H. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Paulista, Fac Ciencias & Tecnol, Dept Matemat & Comp, UNESP, BR-19060900 Presidente Prudente, SP - Brazil

^[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS; v. 26, NOV 13 2020.
• Citações Web of Science: 0

Resumo

In this paper we prove the compactness of the embeddings of the space of radially symmetric functions of BL((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 (N), as well as a version of the Radial Lemma of Strauss to the space BL((N)). An application is presented involving a quasilinear elliptic problem of higher-order, where variational methods are used to find the solutions. (AU)

• Processo FAPESP: 19/14330-9 - Problemas elípticos variacionais e não-variacionais envolvendo o operador 1-Laplaciano
• Beneficiário: Marcos Tadeu de Oliveira Pimenta
• Modalidade de apoio: Auxílio à Pesquisa - Regular