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A survey of the Poincaré Center Problem in degree 3 using finite field heuristics
survey Poincaré Center Problem degree 3
2011/2/21
We compare a heuristic count of components of the center variety in degree 3 with the equivalent count obtained from known families.From this comparison we conjecture that more than 100 unknown compon...
Burkholder integrals, Morrey's problem and quasiconformal mappings
Rank-one-convex Quasi-convex Variational Integrals
2011/1/17
Inspired by Morrey's Problem (on rank-one convex functionals)and the Burkholder integrals (of his martingale theory) we nd that the Burkholder functionals Bp, p > 2.
The Geometric Cauchy Problem for Surfaces With Lorentzian Harmonic Gauss maps
Differential geometry integrable systems loop groups constant mean curvature surfaces
2010/12/14
The geometric Cauchy problem for a class of surfaces in a pseudo-Riemannian manifold of dimension 3 is to find the surface which contains a given curve with a prescribed tangent bundle along the curve...
Galoisian approach for a Sturm-Liouville problem on the infinite interval
Galoisian approach Sturm-Liouville problem infinite interval
2010/11/30
We study a Sturm-Liouville type eigenvalue problem for second-order differential equations on the infinite interval (−1,1). Here the eigenfunctions are nonzero solutions exponentially decaying a...