Abstract
Our aim in this paper is to establish Trudinger’s inequality on Musielak-Orlicz-Morrey spaces LΦ,κ(G) under conditions on Φ 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 Φ(x, t) = tp(x) + a(x)tq(x), where p(·) and q(·) satisfy log-Hölder conditions and a(·) is nonnegative, bounded and Hölder continuous.
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Maeda, FY., Mizuta, Y., Ohno, T. et al. Trudinger’s Inequality for Double Phase Functionals with Variable Exponents. Czech Math J 71, 511–528 (2021). https://doi.org/10.21136/CMJ.2021.0506-19
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DOI: https://doi.org/10.21136/CMJ.2021.0506-19