1,808 research outputs found
Comparison of planted soil infiltration systems for treatment of log yard runoff
Treatment of log yard runoff is required to avoid
contamination of receiving watercourses. The research aim was to assess
if infiltration of log yard runoff through planted soil systems is successful
and if different plant species affect the treatment performance at a fieldscale
experimental site in Sweden (2005 to 2007). Contaminated runoff
from the log yard of a sawmill was infiltrated through soil planted with
Alnus glutinosa (L.) Ga¨rtner (common alder), Salix schwerinii3viminalis
(willow variety ‘‘Gudrun’’), Lolium perenne (L.) (rye grass), and Phalaris
arundinacea (L.) (reed canary grass). The study concluded that there were
no treatment differences when comparing the four different plants with
each other, and there also were no differences between the tree and the
grass species. Furthermore, the infiltration treatment was effective in
reducing total organic carbon (55%) and total phosphorus (45%)
concentrations in the runoff, even when the loads on the infiltration
system increased from year to year
A Holder Continuous Nowhere Improvable Function with Derivative Singular Distribution
We present a class of functions in which is variant
of the Knopp class of nowhere differentiable functions. We derive estimates
which establish \mathcal{K} \sub C^{0,\al}(\R) for 0<\al<1 but no is pointwise anywhere improvable to C^{0,\be} for any \be>\al.
In particular, all 's are nowhere differentiable with derivatives singular
distributions. furnishes explicit realizations of the functional
analytic result of Berezhnoi.
Recently, the author and simulteously others laid the foundations of
Vector-Valued Calculus of Variations in (Katzourakis), of
-Extremal Quasiconformal maps (Capogna and Raich, Katzourakis) and of
Optimal Lipschitz Extensions of maps (Sheffield and Smart). The "Euler-Lagrange
PDE" of Calculus of Variations in is the nonlinear nondivergence
form Aronsson PDE with as special case the -Laplacian.
Using , we construct singular solutions for these PDEs. In the
scalar case, we partially answered the open regularity problem of
Viscosity Solutions to Aronsson's PDE (Katzourakis). In the vector case, the
solutions can not be rigorously interpreted by existing PDE theories and
justify our new theory of Contact solutions for fully nonlinear systems
(Katzourakis). Validity of arguments of our new theory and failure of classical
approaches both rely on the properties of .Comment: 5 figures, accepted to SeMA Journal (2012), to appea
Existence, uniqueness and structure of second order absolute minimisers
Let ⊆ Rn be a bounded open C1,1 set. In this paper we prove the existence
of a unique second order absolute minimiser u∞ of the functional
E∞(u, O) := F(·, u)L∞(O), O ⊆ measurable,
with prescribed boundary conditions for u and Du on ∂ and under natural assumptions
on F. We also show that u∞ is partially smooth and there exists a harmonic
function f∞ ∈ L1() such that
F(x, u∞(x)) = e∞ sgn
f∞(x)
for all x ∈ { f∞ = 0}, where e∞ is the infimum of the global energy
Sickness presenteeism determines job satisfaction via affective-motivational states
Research on the consequences of sickness presenteeism, or the phenomenon of attending work whilst ill, has focused predominantly on identifying its economic, health, and absenteeism outcomes, neglecting important attitudinal-motivational outcomes. A mediation model of sickness presenteeism as a determinant of job satisfaction via affective-motivational states (specifically engagement with work and addiction to work) is proposed. This model adds to the current literature, by focusing on (i) job satisfaction as an outcome of presenteeism, and (ii) the psychological processes associated with this. It posits presenteeism as psychological absence and work engagement and work addiction as motivational states that originate in that. An online survey was completed by 158 office workers on sickness presenteeism, work engagement, work addiction, and job satisfaction. The results of bootstrapped mediation analysis with observable variables supported the model. Sickness presenteeism was negatively associated with job satisfaction. This relationship was fully mediated by both engagement with work and addiction to work, explaining a total of 48.07% of the variance in job satisfaction. Despite the small sample, the data provide preliminary support for the model. Given that there is currently no available research on the attitudinal consequences of presenteeism, these findings offer promise for advancing theorising in this area
Quasivariational solutions for first order quasilinear equations with gradient constraint
We prove the existence of solutions for an evolution quasi-variational
inequality with a first order quasilinear operator and a variable convex set,
which is characterized by a constraint on the absolute value of the gradient
that depends on the solution itself. The only required assumption on the
nonlinearity of this constraint is its continuity and positivity. The method
relies on an appropriate parabolic regularization and suitable {\em a priori}
estimates. We obtain also the existence of stationary solutions, by studying
the asymptotic behaviour in time. In the variational case, corresponding to a
constraint independent of the solution, we also give uniqueness results
The eigenvalue problem for the ∞-Bilaplacian
We consider the problem of finding and describing minimisers of the Rayleigh quotient
Λ∞:=infu∈W2,∞(Ω)∖{0}∥Δu∥L∞(Ω)∥u∥L∞(Ω),
Λ∞:=infu∈W2,∞(Ω)∖{0}‖Δu‖L∞(Ω)‖u‖L∞(Ω),
where Ω⊆RnΩ⊆Rn is a bounded C1,1C1,1 domain and W2,∞(Ω)W2,∞(Ω) is a class of weakly twice differentiable functions satisfying either u=0u=0 on ∂Ω∂Ω or u=|Du|=0u=|Du|=0 on ∂Ω∂Ω . Our first main result, obtained through approximation by LpLp -problems as p→∞p→∞ , is the existence of a minimiser u∞∈W2,∞(Ω)u∞∈W2,∞(Ω) satisfying
{Δu∞∈Λ∞Sgn(f∞)Δf∞=μ∞ a.e. in Ω, in D′(Ω),
{Δu∞∈Λ∞Sgn(f∞) a.e. in Ω,Δf∞=μ∞ in D′(Ω),
for some f∞∈L1(Ω)∩BVloc(Ω)f∞∈L1(Ω)∩BVloc(Ω) and a measure μ∞∈M(Ω)μ∞∈M(Ω) , for either choice of boundary conditions. Here Sgn is the multi-valued sign function. We also study the dependence of the eigenvalue Λ∞Λ∞ on the domain, establishing the validity of a Faber–Krahn type inequality: among all C1,1C1,1 domains with fixed measure, the ball is a strict minimiser of Ω↦Λ∞(Ω)Ω↦Λ∞(Ω) . This result is shown to hold true for either choice of boundary conditions and in every dimension
Localization of glucocorticoid receptor mRNA in the male rat brain by in situ hybridization.
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