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The existence of periodic minimal energy configurations for one-dimensional infinite horizon variational problems arising in continuum mechanics. (English) Zbl 0869.49003

The author considers an infinite horizon variational problem for real valued functions defined on an infinite semiaxis of the line, where the integrand of the functional depends on the second derivative of the sought-for function. The paper generalizes the main results of A. Leizarowitz and V. J. Mizel [Arch. Ration. Mech. Anal. 106, No. 2, 161-193 (1989; Zbl 0672.73010)].
Reviewer: M.Goebel (Halle)

MSC:

49J27 Existence theories for problems in abstract spaces
49K27 Optimality conditions for problems in abstract spaces
74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics

Citations:

Zbl 0672.73010
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