# zbMATH — the first resource for mathematics

A turnpike result for a class of problems of the calculus of variations with extended-valued integrands. (English) Zbl 1162.49017
Summary: We study the structure of approximate solutions of an autonomous variational problem with a lower semicontinuous integrand $$f:\mathbb R^{n} \times\mathbb R^{n} \to\mathbb R^{1} \cup \{\infty\}$$, where $$\mathbb R^n$$ is the $$n$$-dimensional Euclidean space. We are interested in a turnpike property of the approximate solutions which are independent of the length of the interval, for all sufficiently large intervals.

##### MSC:
 49J45 Methods involving semicontinuity and convergence; relaxation
Full Text: