86,879 research outputs found
Polar factorization and pseudo-rearrangements:applications to Polya-Szego type inequalities
No full textWe are interested in the polar factorization of a function f defined in an open bounded subset of R^N. It is well known that there exists a measure preserving map s such that f = f*o s where f* is the decreasing rearrangement of f. We prove that, under suitable assumptions, besides the classical polar factorization of f we have f = f_u o s where f_u is a pseudo-rearrangement of f with respect to the measurable function u and s is the measure preserving map such that u = u* o s. As an application, we characterize those functions that realize equality in the Polya-Szego inequality
Incidenza di malformazioni fetali genetiche ed uso di metformina in gravide affette da policistosi ovarica
No full textOn a class of nonlinear elliptic equations with general growth in the gradient
No full textIn this paper, we prove an existence and uniqueness result for a class of Dirichlet boundary value problems whose model is (Formula presented.) (Formula presented.) (Formula presented.) (Formula presented.) where (Formula presented.) is an open bounded subset of (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.) is the so-called p-Laplace operator, and (Formula presented.). We assume that (Formula presented.) is a positive constant, c and f are measurable functions belonging to suitable Lorentz spaces. Our approach is based on Schauder fixed point theorem
Adsorption of Mercuric Chloride vapours from Incinerators Flue Gases on Calcium Hydroxide Particles
No full textA priori estimates for elliptic equations with gradient dependent term and zero order term
No full textIn this paper we prove an existence result for “solution obtained as limit of approximations” to a class of Dirichlet boundary value problems whose prototype is {−Δpu=β(1+|∇u|)q+c(x)|u|p−2u+finΩu=0on∂Ω, where Ω is a bounded open subset of RN, N≥2, 1<2, Δpu=div(|∇u|p−2∇u), [Formula presented], β is a positive constant, c with c≥0, c≠0 and f are measurable functions satisfying suitable summability conditions depending on q. We further assume smallness assumptions on β, c and f. Our approach is based on Schauder's fixed point theorem. Similar results can be proved also for 2≤
Comparison result for quasi-linear elliptic equations with general growth in the gradient
No full textIn this paper we prove a comparison result for a class of Dirichlet
boundary problems whose model is
−Δu = β|∇u|q + cu + f in Ω
u = 0 su ∂Ω,
where Ω is an open bounded subset of RN, N > 2. We also prove an existence
and uniqueness result for weak solution to these problems
SO2 absorption in a bubbling reactor using limestone suspension
No full textIn the present work attention was focused on a wet flue gas desulfurization process using limestone suspensions, which is the most common method used to reduce SO2 emissions from power plant exhaust gases. The SO2 absorption rate was measured varying both the SO2 concentration in the gas phase and the limestone concentration in the suspension. The experiments were performed by bubbling mixtures of sulfur dioxide and nitrogen in the continuous limestone aqueous suspension. The absorption phenomenon was studied by making use of the film theory to describe the liquid-side mass transfer. It was assumed that the liquid-phase diffusional resistance is concentrated in a layer the thickness of which depends on fluid dynamics, but which is independent of the nature of the reactions taking place. The equations considered by the model describe conditions of thermodynamic equilibrium as well as material and electrical balances. Furthermore, they take into account the effect of the gradient of the electric potential of diffusion on the diffusive transport of ions and molecules in the film surrounding the gas-liquid interface. The SO2 absorption rate and the limestone dissolution rate experimentally determined were used to integrate the model equations, yielding the value of the film thickness, and allowing the determination of the concentration profiles of the different species in the liquid film and of the enhancement factor for chemical absorption. Consistency between model and experimental results, on the basis of the hypothesis of the model, was found
Role of the serotonin receptor 7 in brain plasticity: From development to disease
No full textOur knowledge on the plastic functions of the serotonin (5-HT) receptor subtype 7 (5-HT7R) in the brain physiology and pathology have advanced considerably in recent years. A wealth of data show that 5-HT7R is a key player in the establishment and remodeling of neuronal cytoarchitecture during development and in the mature brain, and its dysfunction is linked to neuropsychiatric and neurodevelopmental diseases. The involvement of this receptor in synaptic plasticity is further demonstrated by data showing that its activation allows the rescue of long-term potentiation (LTP) and long-term depression (LTD) deficits in various animal models of neurodevelopmental diseases. In addition, it is becoming clear that the 5-HT7R is involved in inflammatory intestinal diseases, modulates the function of immune cells, and is likely to play a role in the gut-brain axis. In this review, we will mainly focus on recent findings on this receptor's role in the structural and synaptic plasticity of the mammalian brain, although we will also illustrate novel aspects highlighted in gastrointestinal (GI) tract and immune system
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