Results 31 to 40 of about 520,398 (211)
Log-Minkowski inequalities for the Lp $L_{p}$-mixed quermassintegrals
Journal of Inequalities and Applications, 2019 Böröczky et al. proposed the log-Minkowski problem and established the plane log-Minkowski inequality for origin-symmetric convex bodies. Recently, Stancu proved the log-Minkowski inequality for mixed volumes; Wang, Xu, and Zhou gave the Lp $L_{p ...
Chao Li, Weidong Wang
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On Isoperimetric Inequalities in Minkowski Spaces
Journal of Inequalities and Applications, 2010 The purpose of this expository paper is to collect some (mainly recent) inequalities, conjectures, and open questions closely related to isoperimetric problems in real, finite-dimensional Banach spaces (= Minkowski spaces).
Horst Martini, Zokhrab Mustafaev
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Dual Orlicz geominimal surface area
Journal of Inequalities and Applications, 2016 The L p $L_{p}$ -geominimal surface area was introduced by Lutwak in 1996, which extended the important concept of the geominimal surface area. Recently, Wang and Qi defined the p-dual geominimal surface area, which belongs to the dual Brunn-Minkowski ...
Tongyi Ma, Weidong Wang
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Functional Geominimal Surface Area and Its Related Affine Isoperimetric Inequality
Journal of Function Spaces, 2020 The first variation of the total mass of log-concave functions was studied by Colesanti and Fragalà, which includes the Lp mixed volume of convex bodies. Using Colesanti and Fragalà’s first variation formula, we define the geominimal surface area for log-
Niufa Fang, Jin Yang
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On Almost Gallai Colorings in Complete Graphs
Random Structures &Algorithms, Volume 69, Issue 4, December 2026.ABSTRACT We investigate a rainbow analog of the Ruzsa–Szemerédi problem. For t∈ℕ$$ t\in \mathbb{N} $$, we say that a coloring of E(Kn)$$ E\left({K}_n\right) $$ is almost t$$ t $$‐Gallai if no two rainbow t$$ t $$‐cliques share an edge. Motivated by a lemma of Berkowitz on bounding the modulus of the characteristic function of clique counts in random ...
Alexandr Grebennikov +2 more
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Exponential convergence for ultrafast diffusion equations with log‐concave weights
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract We study the asymptotic behavior of a weighted ultrafast diffusion PDE on the real line, with a log‐concave and log‐lipschitz weight, and prove exponential convergence to equilibrium. This result goes beyond the compact setting studied in Iacobelli [Discrete Contin. Dyn. Syst. 39 (2019), 4929–4943].
Max Fathi, Mikaela Iacobelli
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On A. Hurwitz’ method in isoperimetric inequalities [PDF]
Proceedings of the American Mathematical Society, 1978 We show that if M is complete simply connected with nonpositive sectional curvatures, Ω
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On the deterministic interior body of random polytopes
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract Let {Xi}i=1∞$\lbrace X_i\rbrace _{i=1}^{\infty }$ be a sequence of independent copies of a random vector X$X$ in Rn$\mathbb {R}^n$. We revisit the question to determine the asymptotic shape of the random polytope KN=conv{X1,…,XN}$K_N={\rm conv}\lbrace X_1,\ldots,X_N\rbrace$ where N>n$N>n$.
Minas Pafis, Natalia Tziotziou
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Reifenberg’s isoperimetric inequality revisited [PDF]
Calculus of Variations and Partial Differential Equations, 2019 We prove a generalization of Reifenberg's isoperimetric inequality. The main result of this paper is used to establish existence of a minimizer for an anisotropically-weighted area functional among a collection of surfaces which satisfies a set of axioms, namely being closed under certain deformations and Hausdorff limits.
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Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We study the local regularity properties of weak solutions to a special class of anisotropic doubly nonlinear parabolic operators, whose prototype is the anisotropic Trudinger's equation ut−∑i=1NDiu2−pi|Diu|pi−2Diu=0,u⩾0.$$\begin{equation*} u_t- \sum \limits _{i=1}^N D_i{\left(u^{2-p_i}|D_i u|^{p_i-2} D_i u\right)}=0,\qquad u\geqslant 0.
S. Ciani +3 more
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