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 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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