Fuchs, M.; Reuling, J. Non-linear elliptic systems involving measure data. (English) Zbl 0838.35133 Rend. Mat. Appl., VII. Ser. 15, No. 2, 311-319 (1995). This paper gives an existence theorem for the Dirichlet problem in a bounded smooth domain in \(\mathbb{R}^n\), for the system \(-\text{div}|\nabla u|^{p- 2}\nabla u= T\), where \(u\) is a vector, \(n\geq 3\) and \(p> 2- 1/n\). \(T\) is a Radon measure supported on a set of measure zero. The authors also announce results for more general measures. The proofs are very briefly outlined. Reviewer: S.Kichenassamy (Minneapolis) Cited in 12 Documents MSC: 35R05 PDEs with low regular coefficients and/or low regular data 35J60 Nonlinear elliptic equations 35J45 Systems of elliptic equations, general (MSC2000) Keywords:degenerate elliptic systems; existence theorem; Radon measure PDFBibTeX XMLCite \textit{M. Fuchs} and \textit{J. Reuling}, Rend. Mat. Appl., VII. Ser. 15, No. 2, 311--319 (1995; Zbl 0838.35133)