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Calderon-Zygmund-type estimates for singular quasilinear elliptic obstacle problems with measure data

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 نشر من قبل Minh-Phuong Tran
 تاريخ النشر 2021
  مجال البحث
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We deal with a global Calderon-Zygmund type estimate for elliptic obstacle problems of $p$-Laplacian type with measure data. For this paper, we focus on the singular case of growth exponent, i.e. $1<p le 2-frac{1}{n}$. In addition, the emphasis of this paper is in obtaining the Lorentz bounds for the gradient of solutions with the use of fractional maximal operators.

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