Monge-Ampère operators and valuations
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Publication:6203755
DOI10.1007/s00526-024-02698-5arXiv2303.16000OpenAlexW4393949585WikidataQ126226769 ScholiaQ126226769MaRDI QIDQ6203755
Publication date: 8 April 2024
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.16000
Nonlinear elliptic equations (35J60) Integral geometry (53C65) Mixed volumes and related topics in convex geometry (52A39) Convexity of real functions of several variables, generalizations (26B25) Affine differential geometry (53A15) Qualitative properties of solutions to partial differential equations (35Bxx)
Cites Work
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- Covariance matrices and valuations
- \(\mathrm{SL}(n)\) invariant valuations on polytopes
- Fisher information and matrix-valued valuations
- Hermitian integral geometry
- Harmonic analysis of translation invariant valuations
- Valuations on manifolds and Rumin cohomology
- Newton polyhedra and zeros of systems of exponential sums
- Hessian measures. I
- Ellipsoids and matrix-valued valuations
- Volume, polar volume and Euler characteristic for convex functions
- Minkowski valuations on lattice polytopes
- Complex geometry. An introduction
- Hessian measures. II
- Centro-affine tensor valuations
- The support of dually epi-translation invariant valuations on convex functions
- The Hadwiger theorem on convex functions. III: Steiner formulas and mixed Monge-Ampère measures
- A homogeneous decomposition theorem for valuations on convex functions
- Continuous valuations on the space of Lipschitz functions on the sphere
- A class of invariant valuations on \(\operatorname{Lip}(S^{n -1})\)
- Valuations on convex functions and convex sets and Monge-Ampère operators
- Tensor valuations on lattice polytopes
- Hadwiger's theorem for definable functions
- The module of unitarily invariant area measures
- Integral geometry of complex space forms
- Valuations on convex sets, non-commutative determinants, and pluripotential theory
- Convex valuations invariant under the Lorentz group
- Integral geometry of unitary area measures
- The Hadwiger theorem on convex functions. IV: The Klain approach
- Equivariant endomorphisms of convex functions
- Minkowski valuations on $L^{p}$-spaces
- Valuations on Sobolev spaces
- Moments and valuations
- Distributions and Valuations
- Some Rigidity Results Related to Monge–Ampèere Functions
- Symmetry, Representations, and Invariants
- Valuations and Euler-Type Relations on Certain Classes of Convex Polytopes
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Variational Analysis
- Combinatorial Commutative Algebra
- HESSIAN MEASURES OF CONVEX FUNCTIONS AND APPLICATIONS TO AREA MEASURES
- A short proof of Hadwiger's characterization theorem
- Steiner type formulae and weighted measures of singularities for semi-convex functions
- On the Monge-Amp\`ere equation
- Valuations on Banach Lattices
- Convex Bodies The Brunn-MinkowskiTheory
- Theory of valuations on manifolds, III. Multiplicative structure in the general case
- Description of translation invariant valuations on convex sets with solution of P. McMullen's conjecture
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