We show existence of minimizers for the Hardy-Sobolev-Maz’ya inequality in Rm+n \ Rn when either m > 2, n ≥ 1 or m = 1, n ≥ 3. The authors expresses their gratitude to the faculties of mathematics department at Technion Haifa Institute of Technology and of the University of Cyprus for their hospitality. A.T. acknowledges partial support by the RTN European network Fronts–Singularities, HPRN-CT-...

In this paper, we establish and analyze a traffic flow model which describes the formation and dynamics of traffic jams. It consists of a Pressureless Gas Dynamics system under a maximal constraint on the density and is derived through a singular limit of the Aw-Rascle model. From this analysis, we deduce the particular dynamical behaviour of clusters (or traffic jams), defined as intervals whe...

This paper demonstrates how a probabilistic criterion based on the full capacity outage probability distribution (e.g., LOLP) could be integrated into the unit commitment (UC) optimization using simple statistical approximation. While this provides a direct and computationally cheaper means as compared to a recently published approach to locating the globally optimal SR allocation (and associat...

INTRODUCTION Leprosy has been a major public health problem in India for centuries. In India, between 2001 and 2005, the prevalence of leprosy was reduced by 80%. This sharp decline in the prevalence of leprosy alongside the cessation of active surveillance for detection of leprosy cases has raised a sense of alarm in the scientific community. MATERIALS AND METHODS This is a total population ...

This paper presents the results of research carried out to improve emergency response activities in earthquake-prone areas of Iran. The research concentrated on emergency response operations, emergency medical care, emergency transportation, and evacuation-the most important issues after an earthquake with regard to saving the lives of victims. For each topic, some guidelines and criteria are p...

a Dipartimento di Scienza Applicata e Tecnologia, Politecnico di Torino, Torino, 10129, Italy b NanoFacility Piemonte, Istituto Nazionale di Ricerca Metrologica (INRIM), 10135, Torino. c Optics & Photonics Technology Laboratory, Ecole Polytechnique Fédérale de Lausanne (EPFL), rue de la Maladière 71b, Neuchâtel CH-2002, Switzerland. d Fraunhofer Institute for Applied Optics and Precision Engine...

We investigate existence and permanence properties of invariant measures for abstract stochastic Cauchy problems of the form dU(t) = (AU(t) + f) dt+B dWH(t), t > 0, governed by the generator A of an asymptotically unstable C0-semigroup on a Banach space E. Here f ∈ E is fixed, WH is a cylindrical Brownian motion over a separable real Hilbert space H, and B : H → E is a bounded operator. We show...

In view of an enhancement of our implementation on the computer, we explore the possibility of an algorithmic optimization of the various proof-theoretic techniques employed by Kohlenbach for the synthesis of new (and better) effective uniform bounds out of established qualitative proofs in Numerical Functional Analysis. Concretely, we prove that the method (developed by the author in his thesi...

Development of the sugar beet cyst nematode, Heterodera schachtii, was studied in growth chambers at 20, 25, 29, 32 and 35 ± 1 oC on Beta vulgaris cv. Saccharifera. The optimum temperature for reproduction appeared to be 32 oC, at which the life cycle, from second-stage juvenile (J2) to J2, was completed in 16-19 days; at 35 oC, 20-21 days were required. Juveniles emerged from eggs within 29 da...

Numerous molecular studies have identified morphologically cryptic, freshwater invertebrate species, but have not suggested possible mechanisms for their phenotypic stasis. The amphipod crustacean genus Hyalella contains numerous morphologically cryptic species in the H. azteca complex, as well as a small number of morphologically very divergent, narrowly endemic taxa. One such taxon, Hyalella ...