Geometric invariants and the Monge-Ampere equation in Kähler geometry
This is a contribution to the special issue of Surveys in Differential Geometry celebrating the 75th birthday of Shing-Tung Yau. The bulk of the paper is devoted to a survey of some new geometric inequalities and estimates for the Monge-Ampere equation, obtained by the authors in the last few years in joint work with F. Tong, J. Song, and J.
Guo, Bin, Phong, Duong H.
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One way to describe the entropy of black holes comes from partitioning momentum charge across fractionated intersecting brane systems. Here we construct 1 8 $$ \frac{1}{8} $$ -BPS solutions by adding momentum to a maze of M2-brane strips stretched ...
Iosif Bena +4 more
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Hermitian-Yang-Mills Connections on Collapsing Elliptically Fibered K3 Surfaces. [PDF]
Datar V, Jacob A.
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Convergence of a hybrid scheme for the elliptic Monge-Ampere equation
We prove the convergence of a hybrid discretization to the viscosity solution of the elliptic Monge-Ampere equation. The hybrid discretization uses a standard finite difference discretization in parts of the computational domain where the solution is expected to be smooth and a monotone scheme elsewhere.
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Singular Monge-Ampere equations over convex domains
Mengni Li
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Flows of Conformally Coclosed G 2 -Structures with Dilaton. [PDF]
Karigiannis S, Picard S, Suan C.
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Observations of pressure anisotropy effects within semi-collisional magnetized plasma bubbles. [PDF]
Tubman ER +24 more
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Koopman-von Neumann and Weyl-Wigner Phase-Space Formulation of Inviscid Euler Flows. [PDF]
Molnar SM, Godfrey JR.
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Enhanced models for the nonlinear bending of planar rods: localization phenomena and multistability. [PDF]
Brunetti M, Favata A, Vidoli S.
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The Stability Principle and global weak solutions of the free surface semi-geostrophic equations in geostrophic coordinates. [PDF]
Cullen MJP +3 more
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