Du, Yihong The work of Norman Dancer. (English) Zbl 1420.35001 Discrete Contin. Dyn. Syst., Ser. S 12, No. 7, 1807-1833 (2019). Summary: In this article, a sample of Norman Dancer’s published works are briefly described, to give the reader a taste of his deep and important research on nonlinear functional analysis, nonlinear ODE and PDE problems, and dynamical systems. The sample covers a variety of topics where Norman Dancer has made remarkable contributions. Cited in 1 Document MSC: 35-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to partial differential equations 35B09 Positive solutions to PDEs 35B40 Asymptotic behavior of solutions to PDEs 47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces 47H11 Degree theory for nonlinear operators 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces 58E07 Variational problems in abstract bifurcation theory in infinite-dimensional spaces 01A60 History of mathematics in the 20th century 01A70 Biographies, obituaries, personalia, bibliographies Keywords:nonlinear elliptic equations; bifurcation theory; fixed point index; monotone dynamical systems Biographic References: Dancer, Norman PDFBibTeX XMLCite \textit{Y. Du}, Discrete Contin. Dyn. Syst., Ser. S 12, No. 7, 1807--1833 (2019; Zbl 1420.35001) Full Text: DOI