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Asymptotically regular operators in generalized Morrey spaces

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 نشر من قبل Lyoubomira Softova Palagacheva
 تاريخ النشر 2019
  مجال البحث
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We obtain Calderon-Zygmund type estimates in generalized Morrey spaces for nonlinear equations of $p$-Laplacian type. Our result is obtained under minimal regularity assumptions both on the operator and on the domain. This result allows us to study asymptotically regular operators. As a byproduct, we obtain also generalized Holder regularity of the solutions under some minimal restrictions of the weight functions.

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