Sufficient conditions for semicontinuous surface integrals.

Sufficient conditions for univalence and starlikeness

It is known that the condition $mathfrak {Re} left{zf'(z)/f(z)right}>0$, $|z|

Multiple integrals: Sufficient conditions for a local minimum, Jacobi and Weierstrass-type conditions

Nonlocal Conditions for Lower Semicontinuous Parabolic Inclusions

Let Ω be an open bounded domain in N , N ≥ 2, with a smooth boundary ∂Ω. We denote the norm usually the Euclidean norm of x ∈ Ω by ‖x‖. Let T be a positive real number. Set QT Ω × 0, T and ΓT ∂Ω × 0, T . For u : D → we denote its partial derivatives when they exist by ut ∂u/∂t, uxi ∂u/∂xi, uxixj ∂ u/∂xi∂xj , i, j 1, . . . ,N. Let X C QT denote the Banach space of continuous functions u : QT → ,...

CERTAIN SUFFICIENT CONDITIONS FOR CLOSE-TO-CONVEXITY OF ANALYTIC FUNCTIONS

The object of this paper to derive certain sucient condi-tions for close-to-convexity of certain analytic functions dened on theunit disk  

Sufficient conditions for maximally edge-connected and super-edge-connected

Let $G$ be a connected graph with minimum degree $delta$ and edge-connectivity $lambda$. A graph ismaximally edge-connected if $lambda=delta$, and it is super-edge-connected if every minimum edge-cut istrivial; that is, if every minimum edge-cut consists of edges incident with a vertex of minimum degree.In this paper, we show that a connected graph or a connected triangle-free graph is maximall...