Geodesic
On Morrey's estimate of the Sobolev norms of solutions of elliptic equations
Matematičeskie zametki, Tome 79 (2006) no. 3, pp. 450-469

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We give a complete proof of Morrey's estimate for the $W^{1,p}$-norm of a solution of a second-order elliptic equation on a domain in terms of the $L_1$-norm of this solution. The dependence of the constant in this estimate on the coefficients of the equation is investigated. 
@article{MZM_2006_79_3_a11,
     author = {S. V. Shaposhnikov},
     title = {On {Morrey's} estimate of the {Sobolev} norms of solutions of elliptic equations},
     journal = {Matemati\v{c}eskie zametki},
     pages = {450--469},
     publisher = {mathdoc},
     volume = {79},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_3_a11/}
}
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S. V. Shaposhnikov. On Morrey's estimate of the Sobolev norms of solutions of elliptic equations. Matematičeskie zametki, Tome 79 (2006) no. 3, pp. 450-469. http://geodesic.mathdoc.fr/item/MZM_2006_79_3_a11/