Local Morrey estimate in Musielak-Orlicz-Sobolev space
Abstract
Under appropriate assumptions on the N()-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()-fucntion. The conclusion applies to several important nonlinear examples frequently appeared in mathematical literature.
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