1996 Young measures and relaxation of functionals for integrands $f(x,u(x),u'(x))$
Gilles Aubert, Rabah Tahraoui
Differential Integral Equations 9(1): 27-43 (1996). DOI: 10.57262/die/1367969986

Abstract

In this paper, we examine the question of optimality conditions in terms of Young's measures for a relaxed problem associated to a one-dimensional nonconvex problem of the calculus of variations of the type $\inf \int_a^b f(x,u(x),u' (x))dx.$ Once these conditions are established, we set sufficient conditions for the existence of solutions of the nonconvex problem.

Citation

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Gilles Aubert. Rabah Tahraoui. "Young measures and relaxation of functionals for integrands $f(x,u(x),u'(x))$." Differential Integral Equations 9 (1) 27 - 43, 1996. https://doi.org/10.57262/die/1367969986

Information

Published: 1996
First available in Project Euclid: 7 May 2013

zbMATH: 0840.49001
MathSciNet: MR1364032
Digital Object Identifier: 10.57262/die/1367969986

Subjects:
Primary: 49J45
Secondary: 49Q20

Rights: Copyright © 1996 Khayyam Publishing, Inc.

Vol.9 • No. 1 • 1996
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