Finding new families of rank-one convex polynomials

Luís Bandeira; Pablo Pedregal

Displaying similar documents to “Finding new families of rank-one convex polynomials”

A remark on polyconvex envelopes of radially symmetric functions in dimension $2 \times 2$

Ondřej Došlý (1997)

Applications of Mathematics

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We study polyconvex envelopes of a class of functions related to the function of Kohn and Strang introduced in . We present an example of a function of this class for which the polyconvex envelope may be computed explicitly and we also point out some general features of the problem.

Non-compact lamination convex hulls

Jan Kolář (2003)

Annales de l'I.H.P. Analyse non linéaire

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On the Fekete-Szegő theorem for close-to-convex functions.

Chonweerayoot, A., Thomas, D.K., Upakarnitikaset, W. (1992)

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The centroid and circumcentre of a plane convex set

H. G. Eggleston (1969)

Compositio Mathematica

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Regular triangles and isoclinic triangles in the Grassmann $G_{2} (ℝ^{N})$ .

Masala, G. (1999)

Rendiconti del Seminario Matematico

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On Baica's trigonometric identity.

Gregorac, R.J. (1989)

International Journal of Mathematics and Mathematical Sciences

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Two-dimensional real symmetric spaces with maximal projection constant

Bruce Chalmers, Grzegorz Lewicki (2000)

Annales Polonici Mathematici

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Let V be a two-dimensional real symmetric space with unit ball having 8n extreme points. Let λ(V) denote the absolute projection constant of V. We show that $λ (V) \leq λ (V_{n})$ where $V_{n}$ is the space whose ball is a regular 8n-polygon. Also we reprove a result of [1] and [5] which states that $4 / π = λ (l ₂^{(2)}) \geq λ (V)$ for any two-dimensional real symmetric space V.

An inequality on ternary quadratic forms in triangles.

Hu, Nu-Chun (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Integrable systems in the plane with center type linear part

Javier Chavarriga (1994)

Applicationes Mathematicae

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We study integrability of two-dimensional autonomous systems in the plane with center type linear part. For quadratic and homogeneous cubic systems we give a simple characterization for integrable cases, and we find explicitly all first integrals for these cases. Finally, two large integrable system classes are determined in the most general nonhomogeneous cases.