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Journal of Convex Analysis 08 (2001), No. 2, 417--422
Copyright Heldermann Verlag 2001

Anisotropic Elliptic Equations in Lm

Feng-Quan Li
Dept. of Mathematics, Qufu Normal University, Qufu 273165, Shandong, P. R. China

We prove the existence of solutions to anisotropic nonlinear elliptic equations with right hand side term in Lm(Ω) and obtain the appropriate function space for the weak solutions. This paper gives a generalization of some results given by L. Boccardo, T. Gallouet and P. Marcellini [Diff. Integral Equations 9 (1996) 209--212] and by L. Boccardo and T. Gallouet [Comm. Partial Diff. Equations 17 (1992) 641--655].

Keywords: Anisotropic elliptic equations, Lm data.

MSC: 35D05; 35D10, 35J65.

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