Sobolev and Trudinger inequalities in weighted Morrey spaces for double phase functionals
Yoshihiro Mizuta
Hiroshima University, JapanTetsu Shimomura
Hiroshima University, Japan
Abstract
Our aim in this paper is to establish Sobolev and Trudinger inequalities for Sobolev functions in weighted Morrey spaces. As an application, we extend these inequalities for double phase functionals , where and is nonnegative, bounded and Hölder continuous of order . Our results are new even for the unweighted case.
Cite this article
Yoshihiro Mizuta, Tetsu Shimomura, Sobolev and Trudinger inequalities in weighted Morrey spaces for double phase functionals. Z. Anal. Anwend. 41 (2022), no. 3/4, pp. 439–466
DOI 10.4171/ZAA/1708