We establish the existence of a nontrivial solution of system:  −∆pu = λ a(x)u|u|p−2 + λ′c(x)u|u|α−1|v|β+1 + f in Ω −∆qv = μ b(x)v|v|q−2 + λ′c(x)|u|α+1v|v|β−1 + g in Ω (u, v) ∈W 1,p 0 (Ω)×W 1,q 0 (Ω) under some restrictions on λ, μ, λ′, α, β, f and g. We show this result by a local minimization.

We construct the motivic tree-level system of Gromov-Witten invariants for convex varieties. 0. Introduction Let V be a projective algebraic manifold. In [11], Sec. 2, Gromov-Witten invariants of V were described axiomatically as a collection of linear maps I g,n,β : H (V ) −→ H(M g,n,Q), β ∈ H2(V,Z) satisfying certain axioms, and a program to construct them by algebro-geometric (as opposed to ...

We investigated the eating rate of commonly consumed foods and the associations with food intake and macronutrient composition. Ingestion time (s) of 50 g of 45 foods was measured to assess eating rate (g/min), after which ad libitum food intake (g) was measured. Thirteen men and 24 women (aged 23.3 (SD 3.4)y, BMI 21.7 (SD 1.7)kg/m(2)) participated, each testing 7 foods in separate sessions. We...

β-Glucosidase hydrolyzes cellobiose to glucose and is an important enzyme in the consortium used for hydrolysis of cellulosic and lignocellulosic feedstocks. In the present work, β-glucosidase was covalently immobilized on non-porous magnetic particles to enable re-use of the enzyme. It was found that particles activated with cyanuric chloride and polyglutaraldehyde gave the highest bead-relate...

If G and H are graphs, let us write G → (H)2 if G contains a monochromatic copy ofH in any 2-colouring of the edges of G. The size-Ramsey number re(H) of a graph H is the smallest possible number of edges a graph G may have if G→ (H)2. Suppose T is a tree of order |T | ≥ 2, and let t0, t1 be the cardinalities of the vertex classes of T as a bipartite graph, and let ∆(T ) be the maximal degree o...

Backgroud. Mercuric sulfide (HgS) has been used in traditional medicines for thousands of years, such as cinnabar, Zuotai and so on. Increasing research supports that HgS is different from mercury chloride (HgCl2) and methylmercury (MeHg) in toxicity and pharmacology, due to the differences in chemical forms. However, the differences of the cytotoxicity and endoplasmic reticulum stress (ERs) am...

An (α, β)-spanner of an undirected unweighted connected graph G = (V,E) is a subgraph H such that: dH(u, v) ≤ α · dG(u, v) + β, for all pairs (u, v) ∈ V × V , where dH(u, v) and dG(u, v) are the distances between u and v in H and G respectively. The quantities α and β are non negative real numbers and are called the multiplicative stretch and additive stretch of the spanner respectively. If α =...

objective: in recent decades, β-glucans have been used as important complementary and alternative medicines for numerous immunocompromised individuals and those with end stage of cancer terminal. the most active form of β-glucans is β(1,3)d-glucan and its  most common source is cell wall of candida albicans. recently it has been introduced as a nano particle design to be used as a carrier for d...

A (1, λ)-embedded graph is a graph that can be embedded on a surface with Euler characteristic λ so that each edge is crossed by at most one other edge. A graph G is called α-linear if there exists an integral constant β such that e(G′) ≤ αv(G′) + β for each G′ ⊆ G. In this paper, it is shown that every (1, λ)-embedded graph G is 4-linear for all possible λ, and is acyclicly edge-(3∆(G) + 70)-c...