Anisotropic Elliptic Equations in L^(m)

Feng-Quan Li

Abstract

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].

Author information

Contact details are reproduced from the original publication and may be historical.

Feng-Quan Li

Dept. of Mathematics, Qufu Normal University, Qufu 273165, Shandong, P. R. China

Keywords

Anisotropic elliptic equations
Lm data

Mathematics Subject Classification

35D05; 35D10, 35J65

Suggested citation

F.-Q. Li. “Anisotropic Elliptic Equations in L^(m).” Journal of Convex Analysis 8 (2001), No. 2, 417–422.