Results 41 to 50 of about 148 (137)

Subgroups of word hyperbolic groups in dimension 2 over arbitrary rings

Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract In 1996, Gersten proved that finitely presented subgroups of a word hyperbolic group of integral cohomological dimension 2 are hyperbolic. We use isoperimetric functions over arbitrary rings to extend this result to any ring. In particular, we study the discrete isoperimetric function and show that its linearity is equivalent to hyperbolicity,
Shaked Bader, Robert Kropholler, Vladimir Vankov   +2 more
wiley   +1 more source

Partial regularity for $$\omega $$-minimizers of quasiconvex functionals

Calculus of Variations and Partial Differential Equations, 2022
AbstractWe establish partial regularity for the$$\omega $$ω-minimizers of quasiconvex functionals of power growth. A first-order partial regularity result ofBV$$\omega $$ω-minimizers is obtained in the linear growth case under a Dini-type condition on$$\omega $$ω.
openaire   +3 more sources

Anticomonotonicity for preference axioms: The natural counterpart to comonotonicity

Theoretical Economics, Volume 20, Issue 3, Page 831-855, July 2025.
Comonotonicity (same variation) of random variables minimizes hedging possibilities and has been widely used, e.g., in Gilboa and Schmeidler's ambiguity models. This paper investigates anticomonotonicity (opposite variation (AC)), the natural counterpart to comonotonicity. It minimizes leveraging rather than hedging possibilities.
Giulio Principi, Peter P. Wakker, Ruodu Wang   +2 more
wiley   +1 more source

Structure of quasiconvex virtual joins

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract Let G$G$ be a relatively hyperbolic group and let Q$Q$ and R$R$ be relatively quasiconvex subgroups. It is known that there are many pairs of finite index subgroups Q′⩽fQ$Q^{\prime } \leqslant _f Q$ and R′⩽fR$R^{\prime } \leqslant _f R$ such that the subgroup join ⟨Q′,R′⟩$\langle Q^{\prime }, R^{\prime } \rangle$ is also relatively quasiconvex,
Lawk Mineh
wiley   +1 more source

Equivalence of coercivity and mean coercivity in higher-order variational integrals with application to minimization

Journal of Inequalities and Applications
We consider a functional of the type F ( u , Ω ) = ∫ Ω F ( D k u ( x ) ) d x $\mathcal{F}(u,\Omega )=\int _{\Omega}F\big(D^{k}u(x)\big)dx$ on the Dirichlet class, where F is a continuous function and Ω is an open bounded set of R n $\mathbb{R}^{n}$ with ...
Xiaoying He, Chuei Yee Chen
doaj   +1 more source

Relative cubulation of relative strict hyperbolization

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
wiley   +1 more source

Partial regularity for variational integrals with Morrey–Hölder zero‐order terms, and the limit exponent in Massari's regularity theorem

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We revisit the partial C1,α$\mathrm{C}^{1,\alpha }$ regularity theory for minimizers of non‐parametric integrals with emphasis on sharp dependence of the Hölder exponent α$\alpha$ on structural assumptions for general zero‐order terms. A particular case of our conclusions carries over to the parametric setting of Massari's regularity theorem ...
Thomas Schmidt, Jule Helena Schütt
wiley   +1 more source

Lipschitz decompositions of domains with bilaterally flat boundaries

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We study classes of domains in Rd+1,d⩾2$\mathbb {R}^{d+1},\ d \geqslant 2$ with sufficiently flat boundaries that admit a decomposition or covering of bounded overlap by Lipschitz graph domains with controlled total surface area. This study is motivated by the following result proved by Peter Jones as a piece of his proof of the Analyst's ...
Jared Krandel
wiley   +1 more source

Fractional Optimization Problems

Известия Иркутского государственного университета: Серия "Математика", 2014
We consider fractional maximization and minimization problems with an arbitrary feasible set, with a convex function in the numerator, and with a concave function in the denominator. These problems have many applications in economics and engineering.
R. Enkhbat, T. Bayartugs
doaj  

An extension of the proximal point algorithm beyond convexity. [PDF]

J Glob Optim, 2022
Grad SM, Lara F.
europepmc   +1 more source