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arXiv · 1910.11686

Local Morrey estimate in Musielak-Orlicz-Sobolev space

Duchao Liu·Peihao Zhao
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Abstract

Under appropriate assumptions on the $N(\Omega)$-fucntion, 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.

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Duchao Liu, Peihao Zhao. 2019-10-24. Local Morrey estimate in Musielak-Orlicz-Sobolev space. https://arxiv.org/abs/1910.11686

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