The limiting behavior of the value-function for variational problems arising in continuum mechanics

Alexander J. Zaslavski

doi:10.1016/j.anihpc.2009.07.005

JournalsaihpcVol. 27, No. 1pp. 57–72

The limiting behavior of the value-function for variational problems arising in continuum mechanics

Alexander J. Zaslavski
Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel

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Abstract

In this paper we study the limiting behavior of the value-function for one-dimensional second order variational problems arising in continuum mechanics. The study of this behavior is based on the relation between variational problems on bounded large intervals and a limiting problem on $[0, \infty)$ .

Cite this article

Alexander J. Zaslavski, The limiting behavior of the value-function for variational problems arising in continuum mechanics. Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), no. 1, pp. 57–72

DOI 10.1016/J.ANIHPC.2009.07.005