Results 61 to 70 of about 476,682 (147)
Global second‐order estimates in anisotropic elliptic problems
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract This work deals with boundary value problems for second‐order nonlinear elliptic equations in divergence form, which emerge as Euler–Lagrange equations of integral functionals of the Calculus of Variations built upon possibly anisotropic norms of the gradient of trial functions.
Carlo Alberto Antonini +4 more
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 126, Issue 3, 15 February 2025.ABSTRACT Porous microstructures represent a challenge for the convergence of FFT‐based computational homogenization methods. In this contribution, we show that the damped Eyre–Milton iteration is linearly convergent for a class of nonlinear composites with a regular set of pores, provided the damping factor is chosen between zero and unity.
Elodie Donval, Matti Schneider
wiley +1 more source
Uniformly convex-transitive function spaces [PDF]
arXiv, 2009 We introduce a property of Banach spaces called uniform convex-transitivity, which falls between almost transitivity and convex-transitivity. We will provide examples of uniformly convex-transitive spaces. This property behaves nicely in connection with some Banach-valued function spaces.
arxiv
Lipschitz‐free spaces over strongly countable‐dimensional spaces and approximation properties
Bulletin of the London Mathematical Society, Volume 57, Issue 2, Page 359-376, February 2025.Abstract Let T$T$ be a compact, metrisable and strongly countable‐dimensional topological space. Let MT$\mathcal {M}^T$ be the set of all metrics d$d$ on T$T$ compatible with its topology, and equip MT$\mathcal {M}^T$ with the topology of uniform convergence, where the metrics are regarded as functions on T2$T^2$. We prove that the set AT,1$\mathcal {A}
Filip Talimdjioski
wiley +1 more source
Local Analysis of Inverse Problems: H\"{o}lder Stability and Iterative Reconstruction
, 2012 We consider a class of inverse problems defined by a nonlinear map from parameter or model functions to the data. We assume that solutions exist. The space of model functions is a Banach space which is smooth and uniformly convex; however, the data space
Ammari H +12 more
core +1 more source
Common fixed-point results in uniformly convex Banach spaces [PDF]
Fixed Point Theory and Applications, 2012 Abstract We introduce a condition on mappings, namely condition ( K ) . In a uniformly convex Banach space, the condition is weaker than quasi-nonexpansiveness and weaker than asymptotic nonexpansiveness.
Naknimit Akkasriworn +3 more
openaire +2 more sources
Random Structures &Algorithms, Volume 66, Issue 1, January 2025.Abstract The entropic doubling σent[X]$$ {\sigma}_{\mathrm{ent}}\left[X\right] $$ of a random variable X$$ X $$ taking values in an abelian group G$$ G $$ is a variant of the notion of the doubling constant σ[A]$$ \sigma \left[A\right] $$ of a finite subset A$$ A $$ of G$$ G $$, but it enjoys somewhat better properties; for instance, it contracts upon ...
Ben Green, Freddie Manners, Terence Tao
wiley +1 more source
Remarks on coarse embeddings of metric spaces into uniformly convex Banach spaces
Journal of Mathematical Analysis and Applications, 2006 AbstractWe study the support and convergence conditions for a metric space to be coarsely embeddable into a uniformly convex Banach space. By using ultraproducts we also show that the coarse embeddability of a metric space into a uniformly convex Banach space is determined by its finite subspaces.
Jinxiu Li, Qin Wang
openaire +2 more sources
The devil's staircase for chip‐firing on random graphs and on graphons
Random Structures &Algorithms, Volume 66, Issue 1, January 2025.Abstract We study the behavior of the activity of the parallel chip‐firing upon increasing the number of chips on an Erdős–Rényi random graph. We show that in various situations the resulting activity diagrams converge to a devil's staircase as we increase the number of vertices.
Viktor Kiss +2 more
wiley +1 more source
Randomized series and Geometry of Banach spaces [PDF]
arXiv, 2007 We study some properties of the randomized series and their applications to the geometric structure of Banach spaces. For $n\ge 2$ and $1
arxiv