Local Morrey estimate in Musielak-Orlicz-Sobolev space
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Published:2023-06-23
Issue:
Volume:
Page:1-14
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ISSN:1230-3429
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Container-title:Topological Methods in Nonlinear Analysis
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language:
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Short-container-title:TMNA
Author:
Liu Duchao,Zhao Peihao
Abstract
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.
Publisher
Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University
Subject
Applied Mathematics,Analysis