
Journal of Convex Analysis 08 (2001), No. 2, 417422 Copyright Heldermann Verlag 2001 Anisotropic Elliptic Equations in L^{m} FengQuan 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 L^{m}(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) 209212] and by L. Boccardo and T. Gallouet [Comm. Partial Diff. Equations 17 (1992) 641655]. Keywords: Anisotropic elliptic equations, L^{m} data. MSC: 35D05; 35D10, 35J65. [ Fulltextpdf (230 KB)] 