Academic literature on the topic 'Global minimizers'

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Journal articles on the topic "Global minimizers"

1

Giner, E. "Local minimizers of integral functionals are global minimizers." Proceedings of the American Mathematical Society 123, no. 3 (1995): 755. http://dx.doi.org/10.1090/s0002-9939-1995-1254839-1.

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2

Choksi, Rustum, Marco Morandotti, and Marco Veneroni. "Global minimizers for axisymmetric multiphase membranes." ESAIM: Control, Optimisation and Calculus of Variations 19, no. 4 (2013): 1014–29. http://dx.doi.org/10.1051/cocv/2012042.

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3

Conti, Monica, and Veronica Felli. "Global minimizers of coexistence for competing species." Journal of the London Mathematical Society 83, no. 3 (2011): 606–18. http://dx.doi.org/10.1112/jlms/jdq085.

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4

David, Guy. "Global minimizers of the Mumford-Shah function." Current Developments in Mathematics 1997, no. 1 (1997): 219–24. http://dx.doi.org/10.4310/cdm.1997.v1997.n1.a13.

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5

Leonetti, Francesco, and Francesco Siepe. "Global integrability for minimizers of anisotropic functionals." Manuscripta Mathematica 144, no. 1-2 (2013): 91–98. http://dx.doi.org/10.1007/s00229-013-0641-y.

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6

Carrillo, José Antonio, Michel Chipot, and Yanghong Huang. "On global minimizers of repulsive–attractive power-law interaction energies." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372, no. 2028 (2014): 20130399. http://dx.doi.org/10.1098/rsta.2013.0399.

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We consider the minimization of the repulsive–attractive power-law interaction energies that occur in many biological and physical situations. We show the existence of global minimizers in the discrete setting and obtain bounds for their supports independently of the number of Dirac deltas in a certain range of exponents. These global discrete minimizers correspond to the stable spatial profiles of flock patterns in swarming models. Global minimizers of the continuum problem are obtained by compactness. We also illustrate our results through numerical simulations.
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7

DA LUZ, ADRIANA, and EZEQUIEL MADERNA. "On the free time minimizers of the NewtonianN-body problem." Mathematical Proceedings of the Cambridge Philosophical Society 156, no. 2 (2013): 209–27. http://dx.doi.org/10.1017/s0305004113000650.

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AbstractIn this paper we study the existence and the dynamics of a very special class of motions, which satisfy a strong global minimization property. More precisely, we call a free time minimizer a curve which satisfies the least action principle between any pair of its points without the constraint of time for the variations. An example of a free time minimizer defined on an unbounded interval is a parabolic homothetic motion by a minimal central configuration. The existence of a large amount of free time minimizers can be deduced from the weak KAM theorem. In particular, for any choice ofx0
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8

MRAMOR, BLAŽ, and BOB RINK. "A dichotomy theorem for minimizers of monotone recurrence relations." Ergodic Theory and Dynamical Systems 35, no. 1 (2013): 215–48. http://dx.doi.org/10.1017/etds.2013.47.

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AbstractVariational monotone recurrence relations arise in solid state physics as generalizations of the Frenkel–Kontorova model for a ferromagnetic crystal. For such problems, Aubry–Mather theory establishes the existence of ‘ground states’ or ‘global minimizers’ of arbitrary rotation number. A nearest neighbor crystal model is equivalent to a Hamiltonian twist map. In this case, the global minimizers have a special property: they can only cross once. As a non-trivial consequence, every one of them has the Birkhoff property. In crystals with a larger range of interaction and for higher order
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9

Spector, Scott J. "Linear deformations as global minimizers in nonlinear elasticity." Quarterly of Applied Mathematics 52, no. 1 (1994): 59–64. http://dx.doi.org/10.1090/qam/1262319.

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10

Speight, J. M., and M. Svensson. "SOME GLOBAL MINIMIZERS OF A SYMPLECTIC DIRICHLET ENERGY." Quarterly Journal of Mathematics 62, no. 3 (2010): 737–45. http://dx.doi.org/10.1093/qmath/haq013.

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