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Applicable Analysis
An International Journal
Volume 18, 1984 - Issue 1-2
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Original Articles

Théorémes d'existence en optimisation non convexe

Gilles Auberi I.U.T., Département informatique, 41 Bd Napoléon III, Nice, 06041, France
&
Rabah Tahraoui Laboratoire d'Analyse Numérique, Orsay et Université de Picardie, U.E.R. de Mathématiques, 33 Rue St-Leu, Amiens, 80039, France
Pages 75-100 | Published online: 02 May 2007

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Patrick J. Rabier. (1989) New existence results for some nonconvex optimization problems. Communications in Partial Differential Equations 14:6, pages 699-740.
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Articles from other publishers (18)

Sandro Zagatti. (2017) Strong compactness in Sobolev spaces. manuscripta mathematica 156:3-4, pages 303-327.
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Bernard Dacorogna. 2005. Stationary Partial Differential Equations. Stationary Partial Differential Equations 57 126 .
Fabián Flores-Bazán. (2011) Some remarks about relaxation problems in the Calculus of Variations. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 126:3, pages 665-675.
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Micòl Amar & Carlo Mariconda. (1995) A Nonconvex Variational Problem with Constraints. SIAM Journal on Control and Optimization 33:1, pages 299-307.
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Bernard Dacorogna & Paolo Marcellini. (1995) Existence of minimizers for non-quasiconvex integrals. Archive for Rational Mechanics and Analysis 131:4, pages 359-399.
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Jean-Pierre Raymond. (1993) An anti-plane shear problem. Journal of Elasticity 33:3, pages 213-231.
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F. Flores-Bazán. (1993) Existence theorems for a class of nonconvex problems in the calculus of variations. Journal of Optimization Theory and Applications 78:1, pages 31-48.
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Arrigo Cellina & Fabián Flores. (1992) Radially symmetric solutions of a class of problems of the calculus of variations without convexity assumptions. Annales de l'Institut Henri Poincaré C, Analyse non linéaire 9:4, pages 465-477.
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Jean-Pierre Raymond. (1992) Existence of minimizers for vector problems without quasiconvexity condition. Nonlinear Analysis: Theory, Methods & Applications 18:9, pages 815-828.
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J. E. Souza De Cursi. (1992) Stress unilateral analysis of mooring cables. International Journal for Numerical Methods in Engineering 34:1, pages 279-302.
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R. Tahraoui. (1992) Régularité de la solution d’un problème variationnel. Annales de l'Institut Henri Poincaré C, Analyse non linéaire 9:1, pages 51-99.
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A. Cellina & G. Colombo. (1990) On a classical problem of the calculus of variations without convexity assumptions. Annales de l'Institut Henri Poincaré C, Analyse non linéaire 7:2, pages 97-106.
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Rabah Tahraoui. (1990) Sur une Classe de Fonctionnelles non Convexes et Applications. SIAM Journal on Mathematical Analysis 21:1, pages 37-52.
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Ivar Ekeland, Paolo Marcellini, Antonio Marino, Mario Tosques, Czesław Olech, Giulio Pianigiani, Tyrrell Rockafeller & Michel ValadierPaolo Marcellini. 1990. Methods of Nonconvex Analysis. Methods of Nonconvex Analysis 16 57 .
R. Tahraoui. (2011) Théorèmes d'existence en calcul des variations et applications à l'élasticité non linéaire. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 109:1-2, pages 51-78.
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. 1988. Mathematical Elasticity Volume I: Three-Dimensional Elasticity. Mathematical Elasticity Volume I: Three-Dimensional Elasticity 409 433 .
Elvira Mascolo & Rosanna Schianchi. (1987) Existence theorems in the calculus of variations. Journal of Differential Equations 67:2, pages 185-198.
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J. P. Raymond. (2011) Théorème d'existence pour des problèmes variationnels non convexes. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 107:1-2, pages 43-64.
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