Geodesic
On the estimation of $\int|\nabla u|^2dx$ for solutions of second order elliptic equations
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2008), pp. 145-147 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this article an inequality is proved, which estimates the norm in $L_2$ of the gradient of a generalized (belonging to $W^1_{2,loc}$) solution of a second order elliptic equation over the strict interior subregion through the norms in $L_2$ of the solution itself and the right hand side of the equation. 
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     author = {V. Zh. Dumanyan},
     title = {On the estimation of $\int|\nabla u|^2dx$ for solutions of second order elliptic equations},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {145--147},
     year = {2008},
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V. Zh. Dumanyan. On the estimation of $\int|\nabla u|^2dx$ for solutions of second order elliptic equations. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2008), pp. 145-147. http://geodesic.mathdoc.fr/item/UZERU_2008_2_a12/

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