Geodesic
The membership of solutions of quasielliptic equations to space $L_p$
Matematičeskie zametki, Tome 21 (1977) no. 4, pp. 519-524

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It is established that the solutions of a quasielliptic equation, belonging to space $L_1$ with weight equal to a negative power of the distance to the flat part of the boundary, belong to space $L_p$ with some $p>1$. In particular, the positive solutions of uniformly elliptic equations in bounded regions $\Omega$ with a smooth boundary belong to $L_p(\Omega)$ with any $p$, where $n$ is the dimension of the space of independent variables. 
@article{MZM_1977_21_4_a8,
     author = {V. A. Kondrat'ev and S. D. \`Eidel'man},
     title = {The membership of solutions of quasielliptic equations to space $L_p$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {519--524},
     publisher = {mathdoc},
     volume = {21},
     number = {4},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_4_a8/}
}
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V. A. Kondrat'ev; S. D. Èidel'man. The membership of solutions of quasielliptic equations to space $L_p$. Matematičeskie zametki, Tome 21 (1977) no. 4, pp. 519-524. http://geodesic.mathdoc.fr/item/MZM_1977_21_4_a8/