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- W3148108889 abstract "In the present paper, we deal with the global regularity estimates for the $p$-Laplace equations with data in divergence form [ operatorname{div}(|nabla u|^{p-2} nabla u) = operatorname{div}(|F|^{p-2} F) quad textrm{in $Omega$}, ] in Morrey spaces with natural data $F in L^p(Omega;mathbb{R}^n)$ and nonhomogeneous boundary data belongs to $W^{1,p}(Omega)$. Motivated by the work of [M.-P. Tran, T.-N. Nguyen, New gradient estimates for solutions to quasilinear divergence form elliptic equations with general Dirichlet boundary data, J. Differential Equations 268 (2020), no. 4, 1427–1462], this paper extends that of global Lorentz–Morrey gradient estimates in which the `good-$lambda$' technique was undertaken for a class of more general equations, and further, global regularity of weak solutions will be given in terms of fractional maximal operators." @default.
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- W3148108889 date "2021-07-23" @default.
- W3148108889 modified "2023-09-27" @default.
- W3148108889 title "A Gradient Estimate Related Fractional Maximal Operators for a $p$-Laplace Problem in Morrey Spaces" @default.
- W3148108889 doi "https://doi.org/10.11650/tjm/210202" @default.
- W3148108889 hasPublicationYear "2021" @default.
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