Local Morrey estimate in Musielak-Orlicz-Sobolev space
DOI:
https://doi.org/10.12775/TMNA.2023.001Keywords
Musielak-Sobolev space, Morrey estimate, Hölder continuityAbstract
Under appropriate assumptions on the $N(\Omega)$-fucntion, locally uniform Morrey estimate is presented in the Musielak-Orlicz-Sobolev space. The assumptions include a new increasing condition on the $x$-derivative of the Young complementary function of the $N(\Omega)$-fucntion. The conclusion applies to several important nonlinear examples frequently appeared in mathematical literature.References
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