1998 Young measures, relaxation of functionals and existence results without weak lower semicontinuity
Gilles Aubert, Rabah Tahraoui
Adv. Differential Equations 3(2): 293-336 (1998). DOI: 10.57262/ade/1366399900

Abstract

In this paper, we give new optimality conditions in terms of Young measures for nonconvex minimization problems of type Inf${\int _\Omega} f \bigl(x, u(x), Du(x) \bigr)\,dx$. The analysis of these conditions allows us to find sufficient assumptions for the existence of a minimum.

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Gilles Aubert. Rabah Tahraoui. "Young measures, relaxation of functionals and existence results without weak lower semicontinuity." Adv. Differential Equations 3 (2) 293 - 336, 1998. https://doi.org/10.57262/ade/1366399900

Information

Published: 1998
First available in Project Euclid: 19 April 2013

zbMATH: 0949.49012
MathSciNet: MR1750414
Digital Object Identifier: 10.57262/ade/1366399900

Subjects:
Primary: 49J45
Secondary: 49J20 , 49Q20

Rights: Copyright © 1998 Khayyam Publishing, Inc.

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Vol.3 • No. 2 • 1998
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