On Hopf's Lemma and the Strong Maximum Principle

In this paper we consider Hopf's Lemma and the Strong Maximum Principle for supersolutions to a class of non elliptic equations. In particular we prove a sufficient condition for the validity of Hopf's Lemma and of the Strong Maximum Principle and we give a condition which is at once necessary for the validity of Hopf's Lemma and sufficient for the validity of the Strong Maximum Principle.Comment: 27 pages,4 figure

Global attractors for nonlinear viscoelastic equations with memory

We study the asymptotic properties of the semigroup S(t) arising from a nonlinear viscoelastic equation with hereditary memory on a bounded three-dimensional domain written in the past history framework of Dafermos. We establish the existence of the global attractor of optimal regularity for S(t) for a wide class of nonlinearities as well as within the most general condition on the memory kernel

Analysis and Valuation of Hospital Foodservice Quality-the Perugia case-study

The hospital catering is characterized for the necessity to satisfy the nutritional and dietetic principles, and the several therapeutic requirements of the patient.The main problem is to coordinate the production with the always various number of the requirements. On the other hand,emerging of competition forms in the sanitary field,based on the possibility of chosen of the structure cure from the customer and on the prices and tariffs system,has open new spaces for the recovery of a strategic perspective of the public sanitary companies respect private sector. Always mainly,the hospital companies must centralize own ttention so is minimal the difference between planned quality, distributed quality and perceived quality. The present work offers,through a public opinion pull on a specific case, a first attempt to tie the satisfaction or not satisfaction of a consumer regarding the sanitary service,on the base of some qualitatative variable. The innovation of this work consist of a index series created from the hospital documents and patient judgment (questionnaire) to establish a gap between planned and perceived quality

A set of key questions to assess the stress among bank employees and its reliability: Bank Employee Stress Test (BEST8)

The aims of the present study are: to realize a tool, clear and helpful, to assess the occupational distress level in bank employees in Italy; secondly to assess the reliability of the tool. Eight sentences were considered after a consensus meeting that involved different professional figures. 70 questionnaires were collected. The overall Cronbach’s alpha was 0.596, a sufficient reliability was found. The elimination of one sentences (“I haven’t time to dedicate myself to my hobbies/activities/stuff”) increases alpha’s value from 0.596 to 0.620, and thus reach fully sufficient score. The claim “The pace of change on work place exceeds my capacity for adaptation” maximises the change of the level of reliability (Inter item Correlation = 0.528)

Blue Gravity Waves from BICEP2 ?

We present new constraints on the spectral index n_T of tensor fluctuations from the recent data obtained by the BICEP2 experiment. We found that the BICEP2 data alone slightly prefers a positive, "blue", spectral index with n_T=1.36\pm0.83 at 68 % c.l.. However, when a TT prior on the tensor amplitude coming from temperature anisotropy measurements is assumed we get n_T=1.67\pm0.53 at 68 % c.l., ruling out a scale invariant $n_T=0$ spectrum at more than three standard deviations. These results are at odds with current bounds on the tensor spectral index coming from pulsar timing, Big Bang Nucleosynthesis, and direct measurements from the LIGO experiment. Considering only the possibility of a "red", n_T<0 spectral index we obtain the lower limit n_T > -0.76 at 68 % c.l. (n_T>-0.09 when a TT prior is included).Comment: 3 Pages, 4 Figure

On the behavior of solutions to Schr\"odinger equations with dipole-type potentials near the singularity

Asymptotics of solutions to Schroedinger equations with singular dipole-type potentials is investigated. We evaluate the exact behavior near the singularity of solutions to elliptic equations with potentials which are purely angular multiples of radial inverse-square functions. Both the linear and the semilinear (critical and subcritical) cases are considered

Constraints on Modified Gravity from ACT and SPT

The Atacama Cosmology Telescope (ACT) and the South Pole Telescope (SPT) have recently provided new and precise measurements of the Cosmic Microwave Background anisotropy damping tail. This region of the CMB angular spectra, thanks to the angular distortions produced by gravitational lensing, can probe the growth of matter perturbations and provide a test for general relativity. Here we make use of the ACT and SPT power spectrum measurements (combined with the recent WMAP9 data) to constrain f(R) gravity theories. Adopting a parametrized approach, we obtain an upper limit on the lengthscale of the theory of B_0 < 0.86 at 95% c.l. from ACT, while we get a significantly stronger bound from SPT with B_0 < 0.14 at 95% c.l..Comment: 6 pages, 4 figures, some sentences correcte