Anti-symmetric hamiltonians (II) : variational resolutions for Navier-Stokes and other nonlinear evolutions
Nassif Ghoussoub, Abbas Moameni (2009)
Annales de l'I.H.P. Analyse non linéaire
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Nassif Ghoussoub, Abbas Moameni (2009)
Annales de l'I.H.P. Analyse non linéaire
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Attouch, H., Théra, M. (1996)
Journal of Convex Analysis
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Wyborski, Jerzy (1993)
Mathematica Pannonica
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Ján Lovíšek (1981)
Aplikace matematiky
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The paper presents a problem of duality for the obstacle and unilateral biharmonic problem (the equilibrium of a thin plate with an obstacle inside the domain or on the boundary). The dual variational inequality is derived by introducing polar functions.
A. Visintin (1989)
Rendiconti del Seminario Matematico della Università di Padova
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Horaţiu-Vasile Boncea, Sorin-Mihai Grad (2013)
Open Mathematics
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In this paper we present different regularity conditions that equivalently characterize various ɛ-duality gap statements (with ɛ ≥ 0) for constrained optimization problems and their Lagrange and Fenchel-Lagrange duals in separated locally convex spaces, respectively. These regularity conditions are formulated by using epigraphs and ɛ-subdifferentials. When ɛ = 0 we rediscover recent results on stable strong and total duality and zero duality gap from the literature.
Aleksandra Orpel (2005)
Colloquium Mathematicae
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We discuss the existence of solutions for a certain generalization of the membrane equation and their continuous dependence on function parameters. We apply variational methods and consider the PDE as the Euler-Lagrange equation for a certain integral functional, which is not necessarily convex and coercive. As a consequence of the duality theory we obtain variational principles for our problem and some numerical results concerning approximation of solutions.