Results 71 to 80 of about 1,294 (187)
Self‐improving property for certain degenerate functionals with generalized Orlicz growth
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract We investigate a self‐improving property of variational integrals in a weighted framework under generalized Orlicz growth conditions. Assuming that the weight belongs to an appropriate Muckenhoupt class and the growth function satisfies standard structural conditions, we prove that the gradient of any local quasi‐minimizer has local higher ...
Vertti Hietanen, Mikyoung Lee
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On the Sums of Lower Semicontinuous Strong Świątkowski Functions
Real Analysis Exchange, 2014 The purpose of this article is to give a solution to a problem raised by A. Maliszewski in \(\left[5\right]\) by showing that any lower semicontinuous function can be represented as a sum of two lower semicontinuous strong \'{S}wi\k{a}tkowski functions.
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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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Approximations by Differences of Lower Semicontinuous and Finely Continuous Functions
Real Analysis Exchange, 2019 A classical theorem of W. Sierpiński, S. Mazurkiewicz and S. Kempisty says that the class of all differences of lower semicontinuous functions is uniformly dense in the space of all Baire-one functions. Here, the authors show a generalization of this result to the case when finely continuous functions of either density topologies or both linear and ...
Lukeš, Jaroslav, Pošta, Petr
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A Universal Nucleoside‐to‐Nucleoside‐5′‐Triphosphate Enzyme Cascade Driven by Polyphosphate
Angewandte Chemie International Edition, Volume 65, Issue 31, 27 July 2026.Nucleoside‐5′‐triphosphates (NTPs) are essential components for the generation of nucleic acids, yet their chemical synthesis is hindered by the low yield of nucleoside phosphorylation. Here, we present a universal, two‐enzyme nucleoside‐to‐NTP cascade that is driven by polyphosphate.
Jonathan P. Suess +1 more
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Existence of solutions for nonconvex functional differential inclusions
Electronic Journal of Differential Equations, 2004 We prove the existence of solutions for the functional differential inclusion $x'in F(T(t)x)$, where $F$ is upper semi-continuous, compact-valued multifunction such that $F(T(t)x)subset partial V(x(t))$ on $[0,T]$, $V$ is a proper convex and lower ...
Vasile Lupulescu
doaj
Existence theorems for differential inclusions with nonconvex right hand side
International Journal of Mathematics and Mathematical Sciences, 1986 In this paper we prove some new existence theorems for differential inclusions with a nonconvex right hand side, which is lower semicontinuous or continuous in the state variable, measurable in the time variable and takes values in a finite or infinite ...
Nikolaos S. Papageorgiou
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Weak Lower Semicontinuity of a Functional with Any Order
Journal of Mathematical Analysis and Applications, 1998 The author extends the necessary and sufficient quasiconvexity conditions for the sequential weak lower semicontinuity of a functional of the type \[ u\in W^{k,p}(\Omega; \mathbb{R}^m)\mapsto \int_\Omega f(x,u,Du, D^2u,\dots, D^ku)dx,\tag{1} \] where \(\Omega\) is a bounded open subset of \(\mathbb{R}^n\), \(p\in ]1,+\infty]\), and \(m\geq 1\), to the ...
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Gateaux Differentiability of Convex Functions and Weak Dentable Set in Nonseparable Banach Spaces
Journal of Function Spaces, 2019 In this paper, we prove that if C⁎⁎ is a ε-separable bounded subset of X⁎⁎, then every convex function g≤σC is Ga^teaux differentiable at a dense Gδ subset G of X⁎ if and only if every subset of ∂σC(0)∩X is weakly dentable.
Shaoqiang Shang, Yunan Cui
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Journal of Applied Mathematics, 2014 For constrained minimization problem of maximum eigenvalue functions, since the objective function is nonsmooth, we can use the approximate inexact accelerated proximal gradient (AIAPG) method (Wang et al., 2013) to solve its smooth approximation ...
Wei Wang, Shanghua Li, Jingjing Gao
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