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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

MSC:

47J25 Iterative procedures involving nonlinear operators
35J20 Variational methods for second-order elliptic equations

Citations:

Zbl 0542.00009