Mingarelli, A. B.; Wang, Shuyu A maximum principle and related problems for a Laplacian in Hilbert space. (English) Zbl 0885.35142 Differ. Equ. Dyn. Syst. 1, No. 1, 23-34 (1993). Summary: We establish a maximum principle for a Laplace operator in a Hilbert space and as a result, obtain an extension of the Laplace operator in Hilbert space defined in our previous paper [World Sci. Ser. Appl. Anal. 1, 431-440 (1992; Zbl 0829.47037)]. The related Dirichlet and Poisson problems are also discussed. Cited in 1 Review MSC: 35R15 PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) 35B50 Maximum principles in context of PDEs Citations:Zbl 0829.47037 PDFBibTeX XMLCite \textit{A. B. Mingarelli} and \textit{S. Wang}, Differ. Equ. Dyn. Syst. 1, No. 1, 23--34 (1993; Zbl 0885.35142)