Local Morrey estimate in Musielak-Orlicz-Sobolev space
Duchao Liu, Peihao Zhao
TL;DR
This paper establishes Morrey estimates within Musielak-Orlicz-Sobolev spaces under new assumptions, broadening the applicability to key nonlinear problems in mathematical analysis.
Contribution
It introduces a novel increasing condition on the x-derivative of the Young complementary function, enabling Morrey estimates in this generalized setting.
Findings
Morrey estimate proven in Musielak-Orlicz-Sobolev spaces
Applicable to several nonlinear examples in literature
New assumptions extend previous results
Abstract
Under appropriate assumptions on the -fucntion, Morrey estimate is presented in the Musielak-Orlicz-Sobolev space.The assumptions include a new increasing condition on the -derivative of the Young complementary function of the -fucntion. The conclusion applies to several important nonlinear examples frequently appeared in mathematical literature.
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