Geodesic
On the summability of entropy solutions for the Dirichlet problem in a~class of non-linear elliptic fourth-order equations
Izvestiya. Mathematics , Tome 67 (2003) no. 5, pp. 881-894

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We present some results on the summability of entropy solutions for the Dirichlet problem in a class of fourth-order non-linear elliptic equations in relation to integrability properties of their right-hand sides. Consideration is given to the cases in which the right-hand sides belong to Lebesgue spaces with exponents close to unity and also to some wider sets contained in $L^1$. 
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     author = {A. A. Kovalevsky},
     title = {On the summability of entropy solutions for the {Dirichlet} problem in a~class of non-linear elliptic fourth-order equations},
     journal = {Izvestiya. Mathematics },
     pages = {881--894},
     publisher = {mathdoc},
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     number = {5},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2003_67_5_a1/}
}
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A. A. Kovalevsky. On the summability of entropy solutions for the Dirichlet problem in a~class of non-linear elliptic fourth-order equations. Izvestiya. Mathematics , Tome 67 (2003) no. 5, pp. 881-894. http://geodesic.mathdoc.fr/item/IM2_2003_67_5_a1/