Results 61 to 70 of about 532 (159)

Quasiconvexity and weak convergence in nonlinear analysis

, 2021
The present thesis addresses a broad range of weak convergence problems arising in Nonlinear Analysis. The thesis is divided into three related but essentially independent parts.
Guerra, Andre
core   +1 more source

Starlikeness, Convexity, Close-to-Convexity, and Quasi-Convexity for Functions with Fixed Initial Coefficients

Axioms
In this paper, we employ the theory of differential subordination to establish a theorem that delineates certain sufficient conditions for starlikeness, convexity, close-to-convexity, and quasi-convexity in relation to functions with fixed initial ...
Mohanad Kadhim Ahmed Alkarafi, Ali Ebadian, Saeid Shams   +2 more
doaj   +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

Quasiconvexity in the Riemannian setting

Rendiconti Lincei, Matematica e Applicazioni
We introduce a notion of quasiconvexity for continuous functions f defined on the vector bundle of linear maps between the tangent spaces of a smooth Riemannian manifold (M,g)
A. Corbisiero, C. Leone, C. Mantegazza
openaire   +3 more sources

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

Numerical optimization and quasiconvexity

, 1993
Gremaud, Pierre-Alain. (1993). Numerical optimization and quasiconvexity.
Gremaud, Pierre-Alain
core  

A new concept of semistrict quasiconvexity for vector functions

We establish a new concept of semistrict quasiconvexity for vector functions defined on a nonempty convex set in a real linear space X that take values in some real topological linear space Y, partially ordered by a proper solid convex cone C.
Günther, Christian, Orzan, Alexandru, Popovici, Nicolae   +2 more
core   +1 more source