Trudinger's inequality for double phase functionals with variable exponents
Fumi-Yuki Maeda, Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura (2021)
Czechoslovak Mathematical Journal
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Our aim in this paper is to establish Trudinger’s inequality on Musielak-Orlicz-Morrey spaces under conditions on which are essentially weaker than those considered in a former paper. As an application and example, we show Trudinger’s inequality for double phase functionals , where and satisfy log-Hölder conditions and is nonnegative, bounded and Hölder continuous.