A Hardy-Littlewood-Sobolev type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent

Autor: Alves, Claudianor O., Tavares, Leandro da S.
Rok vydání: 2016
Předmět:
Druh dokumentu: Working Paper
Popis: In this work, we have proved a version of the Hardy-Littlewood-Sobolev inequality for variable exponents. After we use the variational method to establish the existence of solution for a class of Choquard equations involving the $p(x)$-Laplacian operator.
Comment: We made a revision in the paper and added more information in some proofs
Databáze: arXiv