Rabinowitz, Paul H. Minimax methods and their application to partial differential equations. (English) Zbl 0556.47032 Seminar on nonlinear partial differential equations, Publ., Math. Sci. Res. Inst. 2, 307-320 (1984). [For the entire collection see Zbl 0542.00009.] This paper provides a discussion of minimax methods, notably the mountain-pass theorem, and their use in establishing existence theorems for semi-linear elliptic boundary-value problems. Reviewer: D.E.Edmunds Cited in 3 Documents MSC: 47J25 Iterative procedures involving nonlinear operators 35J20 Variational methods for second-order elliptic equations Keywords:minimax methods; mountain-pass theorem; existence theorems for semi- linear elliptic boundary-value problems Citations:Zbl 0542.00009 PDFBibTeX XML