نتایج جستجو برای: ifn λ1
تعداد نتایج: 37832 فیلتر نتایج به سال:
where Ḣ 1 (Ω) is the closure of C ∞ 0 (Ω) in the Sobolev space H 1 1 (Ω) of functions in L(Ω) with one derivative in L. The purpose of this paper is the study of the dependence of λ1,Ω under regular perturbations by diffeomorphisms of Ω, i.e. we want to compute the first variation, the so-called shape derivative, of the functional Ω → λ1,Ω. General results about the stability of λ1,Ω under pert...
If A is an n × n matrix whose n eigenvalues are ordered in terms of decreasing modules, |λ1| ≥ |λ2| ≥ · · · |λn|, it is often of interest to estimate |λ2| |λ1| . If A is a row stochastic matrix (so λ1 = 1), one can use an old formula of R. L. Dobrushin to give a useful, explicit formula for |λ2|. The purpose of this note is to disseminate these known results more widely and to show how they imp...
The present paper deals with the spectrum of a fourth order nonlinear eigenvalue problem involving variable exponent conditions and a sign-changing potential. The main result of this paper establishes the existence of two positive constants λ0 and λ1 with λ0 ≤ λ1 such that every λ ∈ [λ1,+∞) is an eigenvalue, while λ ∈ (−∞, λ0) cannot be an eigenvalue of the above problem.
A group divisible design GDD(5, n, n; 3, λ1, λ2) is an ordered triple (V,G,B), where V is a 5 + n + n-set of symbols, G is a partition of V into 3 sets of sizes 5, n, n, each set being called group, and B is a collection of 3-subsets (called blocks) of V , such that each pair of symbols from the same group occurs in exactly λ1 blocks; and each pair of symbols from different groups occurs in exa...
In the special case of where the spectrum σ = {λ1, λ2, λ3, 0, 0, . . . , 0} has at most three nonzero eigenvalues λ1, λ2, λ3 with λ1 ≥ 0 ≥ λ2 ≥ λ3, and λ1 + λ2 + λ3 = 0, the inverse eigenvalue problem for symmetric stochastic n × n matrices is solved. Constructions are provided for the appropriate matrices where they are readily available. It is shown that when n is odd it is not possible to re...
We give a lower bound for the first gap λ2 − λ1 of the Dirichlet eigenvalues of the Schrödinger operator on a bounded convex domain Ω in a class of Riemannian manifolds, namely λ2 − λ1 ≥ π diameter(Ω) + ( 12 π − 1)α. For the Laplacian on disks in Rn, we have λ2 − λ1 ≥ 4 3 π diameter(Ω) .
BACKGROUND The mechanisms by which viruses induce asthma exacerbations are not well understood. OBJECTIVE We characterized fluctuations in nasal aspirate cytokines during naturally occurring respiratory viral infections in children with asthma. METHODS Sixteen children underwent home collections of nasal aspirates when they were without cold symptoms and again during self-reported respirato...
Let K = K(a, p;λ1, λ2) be the multigraph with: the number of vertices in each part equal to a; the number of parts equal to p; the number of edges joining any two vertices of the same part equal to λ1; and the number of edges joining any two vertices of different parts equal to λ2. This graph was of interest to Bose and Shimamoto in their study of group divisible designs with two associate clas...
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