Results 51 to 60 of about 188 (177)
On regularity of complex Monge-Ampere equation
, 2010 We shall consider the regularity problem of solutions for complex Monge-Ampere equations. First we prove interior $C^2$ estimates of solutions in a bounded domain for complex Monge-Ampere equation with assumption of certain $L^p$ bound for Laplacian u, and of Lipschitz condition on right hand side.
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On degenerate Monge-Ampere equations over closed Kahler manifolds [PDF]
International Mathematics Research Notices, 2006 15 ...
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Inequalities and counterexamples for functional intrinsic volumes and beyond
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that analytic analogs of Brunn–Minkowski‐type inequalities fail for functional intrinsic volumes on convex functions. This is demonstrated both through counterexamples and by connecting the problem to results of Colesanti, Hug, and Saorín Gómez.
Fabian Mussnig, Jacopo Ulivelli
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A C 2,α,β estimate for complex Monge–Ampère type equations with conic sigularities
Advanced Nonlinear StudiesIn this paper, we give an alternative approach to the C 2,α,β estimate for complex Monge-Ampère equations with cone singularities along simple normal crossing divisors.
Huang Liding, Tian Gang, Wang Jiaxiang
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ChemistryOpen, Volume 14, Issue 11, November 2025.Suzuki–Miyaura coupling in a microwave‐assisted natural eutectic solvent was studied: optimization by design of experiments with response surface methodology, recycling, exemplification, scale‐up, and evaluation with CHEM21 toolkit for a sustainable methodology.
Chefikou Salami +3 more
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Local solvability of degenerate Monge-Ampere equations and applications to geometry
Electronic Journal of Differential Equations, 2007 We consider two natural problems arising in geometry which are equivalent to the local solvability of specific equations of Monge-Ampere type. These are: the problem of locally prescribed Gaussian curvature for surfaces in $mathbb{R}^{3}$, and the local
Marcus A. Khuri
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The properties of a new fractional g-Laplacian Monge-Ampère operator and its applications
Advances in Nonlinear AnalysisIn this article, we first introduce a new fractional gg-Laplacian Monge-Ampère operator: Fgsv(x)≔infP.V.∫Rngv(z)−v(x)∣C−1(z−x)∣sdz∣C−1(z−x)∣n+s∣C∈C,{F}_{g}^{s}v\left(x):= \inf \left\{\hspace{0.1em}\text{P.V.}\hspace{0.1em}\mathop{\int }\limits_{{{\mathbb{
Wang Guotao, Yang Rui, Zhang Lihong
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On uniqueness of solutions to complex Monge–Ampère mean field equations
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3163-3180, October 2025.Abstract We establish the uniqueness of solutions to complex Monge–Ampère mean field equations when (minus) the temperature parameter is small. In the local setting of bounded hyperconvex domains, our result partially confirms a conjecture by Berman and Berndtsson. Our approach also extends to the global context of compact complex manifolds.
Chinh H. Lu, Trong‐Thuc Phung
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Oblique boundary value problems for augmented Hessian equations I
Bulletin of Mathematical Sciences, 2018 In this paper, we study global regularity for oblique boundary value problems of augmented Hessian equations for a class of general operators. By assuming a natural convexity condition of the domain together with appropriate convexity conditions on the ...
Feida Jiang, Neil S. Trudinger
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Discussion of ‘Robust distance covariance’ by S. Leyder, J. Raymaekers and P. J. Rousseeuw
International Statistical Review, Volume 94, Issue 1, Page 40-53, April 2026.
Hallin Marc +3 more
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