نتایج جستجو برای: and weakly f

تعداد نتایج: 16870378  

1996
P. Exner

We consider the Dirichlet Laplacian for a strip in IR2 with one straight boundary and a width a(1 + λf(x)) , where f is a smooth function of a compact support with a length 2b . We show that in the critical case, ∫ b −b f(x) dx = 0 , the operator has no bound states for small |λ| if b < ( √ 3/4)a . On the other hand, a weakly bound state exists provided ‖f ′‖ < 1.56a−1‖f‖ ; in that case there a...

2012
Birendra Kumar Sharma Balwant Singh Thakur George Dinca

In this paper, we prove the following results: Let K be a closed convex subset of a real Banach space E. Let T := {T (t) | t ∈ R+} be strongly continuous semigroup of asymptotically nonexpansive mappings from K into K such that F (T ) := ∩t∈R+F (T (t)) 6= ∅, where F (T (t)) = {x ∈ K |T (t)x = x} and R+ denotes the set of nonnegative real numbers. Then for arbitrary x0 ∈ K, the implicit iteratio...

ژورنال: پژوهش های ریاضی 2019

Introduction Suppose that  is a commutative ring with identity,  is a unitary -module and  is a multiplicatively closed subset of .  Factorization theory in commutative rings, which has a long history, still gets the attention of many researchers. Although at first, the focus of this theory was factorization properties of elements in integral domains, in the late nineties the theory was gener...

2010
Mohammad Saleh

The purpose of this paper is to further the study of weakly injective and weakly projective modules as a generalization of injective and projective modules. For a locally q.f.d. module M , there exists a module K ∈ σ[M ] such that K ⊕N is weakly injective in σ[M ], for any N ∈ σ[M ]. Similarly, if M is projective and right perfect in σ[M ], then there exists a module K ∈ σ[M ] such that K ⊕ N i...

Journal: :Quaestiones Mathematicae 2021

Preenvelopes of acts over a monoid are defined by analogy with Enochs’ definition preenvelopes modules. Provided that it is closed for pure subacts, class shown to be preenveloping precisely when under direct products. Examples such classes include absolutely pure, weakly f-injective and p-injective acts.

2008
Francesca Prinari

Fixed a bounded open set Ω of R , we completely characterize the weak* lower semicontinuity of functionals of the form F (u,A) = ess sup x∈A f(x, u(x), Du(x)) defined for every u ∈ W 1,∞(Ω) and for every open subset A ⊂ Ω. Without a continuity assumption on f(·, u, ξ) we show that the supremal functional F is weakly* lower semicontinuous if and only if it can be represented through a level conv...

Journal: :Journal of Combinatorial Theory, Series A 2021

The notion of weak saturation was introduced by Bollob\'as in 1968. Let $F$ and $H$ be graphs. A spanning subgraph $G \subseteq F$ is weakly $(F,H)$-saturated if it contains no copy but there exists an ordering $e_1,\ldots,e_t$ $E(F)\setminus E(G)$ such that for each $i \in [t]$, the graph \cup \{e_1,\ldots,e_i\}$ a $H'$ $e_i H'$. Define $wsat(F,H)$ to minimum number edges graph. In this paper,...

2007
Rudong Chen Zhichuan Zhu Yujun Liu Hong-Kun Xu

Let X be a real reflexive Banach space which admits a weakly sequentially continuous duality mapping from X to X∗, and C be a closed convex subset of X which is also a sunny nonexpansive retract of X, and T : C → X a non-expansive mapping satisfying the weakly inward condition and F (T ) = ∅, and f : C → C be a fixed contractive mapping. The sequence {xn} is given by xn+1 = P (αnf(xn) + (1− αn)...

2017
M. Seetharama Gowda David Sossa

Given a closed convex cone C in a finite dimensional real Hilbert space H, a weakly homogeneous map f : C → H is a sum of two continuous maps h and g, where h is positively homogeneous of degree γ (≥ 0) on C and g(x) = o(||x||) as ||x|| → ∞ in C. Given such a map f , a nonempty closed convex subset K of C, and a q ∈ H, we consider the variational inequality problem, VI(f,K, q), of finding an x∗...

2015
Vadim V Bardin Anton Yu Shabalin Nicolay Yu Adonin

Small differences in the reactivity of weakly nucleophilic potassium aryltrifluoroborates are revealed in the silver-assisted Pd-catalyzed cross-coupling of K[4-RC6F4BF3] (R = H, Bu, MeO, EtO, PrO, iPrO, BuO, t-BuO, CH2=CHCH2O, PhCH2O, PhCH2CH2O, PhO, F, pyrazol-1-yl, pyrrol-1-yl, and indol-1-yl) with ArX (4-BrC6H4CH3, 4-IC6H4F and 3-IC6H4F). An assumed role of silver(I) compounds Ag m Y (Y = O...

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