English

Local Morrey estimate in Musielak-Orlicz-Sobolev space

Functional Analysis 2020-05-11 v3

Abstract

Under appropriate assumptions on the N(Ω)N(\Omega)-fucntion, Morrey estimate is presented in the Musielak-Orlicz-Sobolev space.The assumptions include a new increasing condition on the xx-derivative of the Young complementary function of the N(Ω)N(\Omega)-fucntion. The conclusion applies to several important nonlinear examples frequently appeared in mathematical literature.

Keywords

Cite

@article{arxiv.1910.11686,
  title  = {Local Morrey estimate in Musielak-Orlicz-Sobolev space},
  author = {Duchao Liu and Peihao Zhao},
  journal= {arXiv preprint arXiv:1910.11686},
  year   = {2020}
}

Comments

12 pages. arXiv admin note: text overlap with arXiv:1805.11469, arXiv:1711.11229