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Nontrivial critical points for asymptotically quadratic functions. (English) Zbl 0767.35025
We study the existence of nontrivial critical points for asymptotically quadratic functions. As applications, we study the existence of nontrivial solutions of the Dirichlet problem for nonlinear elliptic PDE and the periodic boundary value problem for nonlinear ODE.
Reviewer: Sh.Li (Beijing)

MSC:
35J60 Nonlinear elliptic equations
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
47J05 Equations involving nonlinear operators (general)
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