Geodesic
$L_p$-estimates of the nontangential maximal function for solutions a second-order elliptic equation solutions
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 53-69

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The work contains the survey of results related to the study of near the boundary behavior of the solution of the Dirichlet problem with the boundary function in $L_p,$ $p > 1$ for a second-order elliptic equation. There are new statements and some unsolved problems in this direction.
Mots-clés : elliptic equation
Keywords: Dirichlet problem, function space. 
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     author = {A. K. Gushchin},
     title = {$L_p$-estimates of the nontangential maximal function for solutions a second-order elliptic equation solutions},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {53--69},
     publisher = {mathdoc},
     number = {1},
     year = {2013},
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}
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A. K. Gushchin. $L_p$-estimates of the nontangential maximal function for solutions a second-order elliptic equation solutions. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 53-69. http://geodesic.mathdoc.fr/item/VSGTU_2013_1_a6/