Results 1 to 10 of about 20,117 (161)

A Generalized Variational Principle

open access: yesCanadian Journal of Mathematics, 2001
We prove a strong variant of the Borwein-Preiss variational principle, and show that on Asplund spaces, Stegall's variational principle follows from it via a generalized Smulyan test. Applications are discussed.
Philip D. Loewen, Xianfu Wang
core   +3 more sources

On the Ekeland variational principle [PDF]

open access: yesJournal of Fixed Point Theory and Applications, 2011
For proper lower semicontinuous functionals bounded from below which do not increase upon polarization, an improved version of Ekeland’s variational principle can be formulated in Banach spaces, which provides almost symmetric ...
Squassina, Marco, Marco Squassina
core   +5 more sources

The strong Ekeland variational principle

open access: yesJournal of Mathematical Analysis and Applications, 2006
In this paper, we consider the strong Ekeland variational principle due to Georgiev [P.G. Georgiev, The strong Ekeland variational principle, the strong drop theorem and applications, J. Math. Anal. Appl. 131 (1988) 1–21].
Tomonari Suzuki
exaly   +2 more sources

Gyarmati’s Variational Principle of Dissipative Processes

open access: yesEntropy, 2014
Like in mechanics and electrodynamics, the fundamental laws of the thermodynamics of dissipative processes can be compressed into Gyarmati’s variational principle. This variational principle both in its differential (local) and in integral (global) forms
József Verhás
exaly   +2 more sources

An Ekeland’s variational principle for set-valued mappings with applications

open access: yesJournal of Computational and Applied Mathematics, 2009
In this paper, we obtain a general Ekeland’s variational principle for set-valued mappings in complete metric space, which is different from those in [G.Y. Chen, X.X.
S J Li
exaly   +2 more sources

$${\mathcal {A}}$$-Variational Principles

open access: yesMilan Journal of Mathematics, 2023
AbstractThough the $${\mathcal {A}}$$ A -quasiconvexity condition has been fully explored since its introduction, no explicit examples of associated variational principles have been considered except in the classical $${\text {curl}}$$ curl -case. Our aim is to propose such a family of
Luís Bandeira, Pablo Pedregal
openaire   +2 more sources

The uncertainty principle: Variations on a theme [PDF]

open access: yesBulletin of the American Mathematical Society, 2021
We show how a number of well-known uncertainty principles for the Fourier transform, such as the Heisenberg uncertainty principle, the Donoho–Stark uncertainty principle, and Meshulam’s nonabelian uncertainty principle, have little to do with the structure of the Fourier transform itself.
Avi Wigderson, Yuval Wigderson
openaire   +2 more sources

Variational Integrators [PDF]

open access: yes, 2004
Variational integrators are a class of discretizations for mechanical systems which are derived by discretizing Hamilton's principle of stationary action.
West, Matthew
core   +1 more source

Local variational principle [PDF]

open access: yesPhysical Review E, 2002
15 pages, 5 figures, one more section ...
openaire   +3 more sources

Variational Principles of Micromagnetics Revisited [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 2020
We revisit the basic variational formulation of the minimization problem associated with the micromagnetic energy, with an emphasis on the treatment of the stray field contribution to the energy, which is intrinsically non-local. Under minimal assumptions, we establish three distinct variational principles for the stray field energy: a minimax ...
Giovanni Di Fratta   +3 more
openaire   +5 more sources

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