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The image of a closed convex set under a Fredholm operator

Emil Ernst
Journal of Functional Analysis, 2014, 267 (11), pp.4431-4445. ⟨10.1016/j.jfa.2014.09.007⟩
Article dans une revue hal-01118511v1

Zero Duality Gap and Attainment with Possibly Non-Convex Data

Emil Ernst , Michel Volle
Journal of Convex Analysis, 2016, 23 (2), pp.615-629
Article dans une revue hal-01481759v1
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Generic Hahn–Banach results

Emil Ernst , Michel Volle
Journal of Mathematical Analysis and Applications, 2014, 420 (1), pp.137-144. ⟨10.1016/j.jmaa.2014.05.075⟩
Article dans une revue hal-01118526v1

On the necessity of the Moreau-Rockafellar-Robinson qualification condition in Banach spaces

Emil Ernst , Michel Théra
Mathematical Programming, 2009, 117 (1-2), pp.149-161
Article dans une revue hal-00356498v1

Slice-continuous sets in reflexive Banach spaces: some complements

Emil Ernst , Michel Théra
Set-Valued Analysis, 2008, 16 (2-3), pp.307-318
Article dans une revue hal-00336377v1

Stabilité de l'ensemble des solutions d'une inéquation variationnelle non coercive

Samir Adly , Emil Ernst , Michel Théra
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2001, 333 (5), pp.409--414. ⟨10.1016/S0764-4442(01)01957-7⟩
Article dans une revue istex hal-02386147v1
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Norm Closure of the Barrier Cone in Normed Linear Spaces

Samir Adly , Emil Ernst , Michel Théra
Proceedings of the American Mathematical Society, 2004, 132, pp.2911-2915. ⟨10.1090/S0002-9939-04-07492-1⟩
Article dans une revue hal-00068253v1
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CONTINUOUS CONVEX SETS AND ZERO DUALITY GAP FOR CONVEX PROGRAMS

Emil Ernst , Michel Volle
2011
Pré-publication, Document de travail hal-00652632v1

Slice-continuous sets in reflexive Banach spaces

Emil Ernst , Michel Théra , Constantin Zalinescu
Journal of Functional Analysis, 2005, 223/1, pp.179-203
Article dans une revue hal-00068959v1

A converse of the Gale-Klee-Rockafellar theorem: Continuity of convex functions at the boundary of their domains

Emil Ernst
Proceedings of the American Mathematical Society, 2013, 141 (10), ⟨10.1090/S0002-9939-2013-11643-6⟩
Article dans une revue hal-01271975v1

Optimal boundedness criteria for extended-real-valued functions

Emil Ernst , Michel Théra , Michel Volle
Optimization, 2007, 56 (3), pp.323-338
Article dans une revue hal-00201291v1

On the closedness of the algebraic difference of closed convex sets

Samir Adly , Emil Ernst , Michel Théra
Journal de Mathématiques Pures et Appliquées, 2003, 82 (9), pp.1219--1249. ⟨10.1016/S0021-7824(03)00024-2⟩
Article dans une revue hal-02386144v1
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ZERO DUALITY GAP FOR CONVEX PROGRAMS: A GENERAL RESULT

Emil Ernst , Michel Volle
2011
Pré-publication, Document de travail hal-00652631v1

Global maximum of a convex function: necessary and sufficient conditions

Emil Ernst , Michel Théra
Journal of Convex Analysis, 2006, 13, p.687-694 n°3-4
Article dans une revue hal-00129241v1
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When is a convex cone the cone of all the half-lines contained in a convex set?

Emil Ernst , Michel Volle
Journal of Convex Analysis, 2009, 16 (3), pp.749-766
Article dans une revue hal-00819389v1
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Boundary Half-Strips and the Strong CHIP

Emil Ernst , Michel Théra
SIAM Journal on Optimization, 2007, 18 (3), pp.834-852. ⟨10.1137/060658047⟩
Article dans une revue hal-00819400v1
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CLOSED MEANS CONTINUOUS IFF POLYHEDRAL: A CONVERSE OF THE GKR THEOREM

Emil Ernst
2011
Pré-publication, Document de travail hal-00652630v1

Stability of the solution set of non-coercive variational inequalities

Samir Adly , Michel Théra , Emil Ernst
Commun. Contemp. Math., 2002, 4 (1), pp.145--160. ⟨10.1142/S0219199702000579⟩
Article dans une revue hal-02386146v1

Continuous sets and non-attaining functionals in reflexive Banach spaces

Emil Ernst , Michel Théra
Giannessi F. Maugeri A. Variational Analysis and Applications, Springer, pp.343-357, 2005, Nonconvex Optimization and its Applications
Chapitre d'ouvrage hal-00069051v1

Generalized Courant–Beltrami penalty functions and zero duality gap for conic convex programs

Emil Ernst , Michel Volle
Positivity, 2013, 17 (4), ⟨10.1007/s11117-012-0214-4⟩
Article dans une revue istex hal-01271969v1

Zero Duality Gap for Convex Programs: A Generalization of the Clark–Duffin Theorem

Emil Ernst , Michel Volle
Journal of Optimization Theory and Applications, 2013, 158 (3), ⟨10.1007/s10957-013-0287-7⟩
Article dans une revue istex hal-01271973v1
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A characterization of convex and semicoercive functionals

Samir Adly , Emil Ernst , Michel Théra
Journal of Convex Analysis, 2001, 8, pp.127-148
Article dans une revue hal-00068956v1

A converse to the Lions-Stampacchia Theorem

Emil Ernst , Michel Théra
ESAIM: Control, Optimisation and Calculus of Variations, 2009, 15 (4), pp.810-817. ⟨10.1051/cocv:2008054⟩
Article dans une revue hal-00336376v1
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Orthogonality in locally convex spaces: two nonlinear generalizations of Neumann's Lemma Octavian-Emil Ernst

Annamaria Barbagallo , Emil Ernst , Michel Thera
2019
Pré-publication, Document de travail hal-02307877v1

A converse to the Eidelheit theorem in real Hilbert spaces

Emil Ernst , Michel Théra
Bulletin des Sciences Mathématiques, 2005, 129, pp.381-397
Article dans une revue hal-00068998v1

Stability in frictional unilateral elasticity revisited: an application of the theory of semi-coercive variational inequalities

Samir Adly , Emil Ernst , Michel Théra
Mathematical analysis and applications, 835, Amer. Inst. Phys., Melville, NY, pp.1--11, 2006, AIP Conf. Proc., ⟨10.1063/1.2205031⟩
Chapitre d'ouvrage hal-02386143v1

Apart Sets and Functions: an Application to the Stability of Penalized Optimization Problems

Emil Ernst
Vietnam Journal of Mathematics, 2018, 46 (2), pp.343-358. ⟨10.1007/s10013-018-0288-9⟩
Article dans une revue hal-02060164v1
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Well-positioned Closed Convex Sets and Well-positioned Closed Convex Functions

Samir Adly , Emil Ernst , Michel Théra
Journal of Global Optimization, 2004, 29 (4), pp.337-351. ⟨10.1023/B:JOGO.0000047907.66385.5d⟩
Article dans une revue hal-00068258v1

An Approxiamate Hahn-Banach Theorem for positively homogeneous functions.

N. Dinh , Emil Ernst , M. A. Lopez , Michel Volle
Optimization, 2014
Article dans une revue hal-01326222v1

Characterizing Sets of Lower Bounds: a Hidden Convexity Result

Emil Ernst , Alberto Zaffaroni
Set-Valued and Variational Analysis, 2017, 25 (4), pp.639 - 650. ⟨10.1007/s11228-017-0416-9⟩
Article dans une revue hal-01712209v1