The Lazer Mckenna Conjecture for Radial Solutions in the RN Ball

When the range of the derivative of the nonlinearity contains the first k eigenvalues of the linear part and a certain parameter is large, we establish the existence of 2k radial solutions to a semilinear boundary value problem. This proves the Lazer McKenna conjecture for radial solutions. Our results supplement those in [5], where the existence of k + 1 solutions was proven

Uniqueness of Stable and Unstable Positive Solutions for Semipositone Problems

Abstract not included in this article

Existence and Multiplicity of Solutions for Semilinear Elliptic Boundary Value Problems

This thesis studies the existence, multiplicity, bifurcation and the stability of the solutions to semilinear elliptic boundary value problems. These problems are motivated both by the mathematical structure and the numerous applications in fluid mechanics chemical reactions, nuclear reactors, Riemannian geometry and elasticity theory. This study considers the problem for different classes of nonlinearities and obtain the existence and multiplicity of positive solutions

Positive Solution Curves of Semipositone Problems with Concave Nonlinearities

We consider the positive solutions to the semilinear equation: -Δu(x) = λf(u(x)) for x ∈ Ω u(x) = 0 for x ∈ ∂Ω where Ω denotes a smooth bounded region in RN (N \u3e 1) and λ \u3e 0. Here f :[0, ∞)→R is assumed to be monotonically increasing, concave and such that f(0) \u3c 0 (semipositone). Assuming that f\u27(∞) ≡ lim t→∞ f\u27(t) \u3e 0, we establish the stability and uniqueness of large positive solutions in terms of (f(t)/t)\u27. When Ω is a ball, we determine the exact number of positive solutions for each λ \u3e 0. We also obtain the geometry of the branches of positive solutions completely and establish how they evolve. This work extends and complements that of [3, 7] where f\u27(∞) ≤ 0

DESMODIUM GANGETICUM ROOT AQUEOUS EXTRACT MEDIATED SYNTHESIS OF NI NANOPARTICLE AND ITS BIOLOGICAL EVALUATION

Objective: A novel, eco-friendly method of Nickel nanoparticles synthesis using aqueous extract of Desmodium gangeticum root (DG) has been reported in this study.Methods: Novel approach on synthesis of Ni nanoparticles using NiCl2 as precursor and aqueous extract of Desmodium gangeticum root as the reducing agent. Nanoparticles were characterized for its average size, morphology, functional moieties and thermal stability by UV-Visible spectrophotometry, X-Ray Diffractometry (XRD), Scanning Electron Microscopy (SEM), Fourier Transform Infrared spectroscopy (FTIR) and Thermo Gravimetric Analysis (TGA) respectively. Cytotoxicity was also determined against LLC PK1 cell lines using LDH assay.Results: Less aggregate spherical shaped and mono-dispersed nanoparticles were synthesised whose size ranges from 20-30 nm in diameter. Nanoparticles were exhibit face centre cubic crystalline phase with an average size of ~23 nm which was obtained from XRD spectral pattern. Strong interaction between Desmodium gangeticum and nanoparticles was shown in TGA-thermogram. The reducing potential and total phenolic content of Ni nanoparticles was found to be same as that of Desmodium gangeticum. All the results were expressed as mean±SD of n = 4-6 independent assays, p<0.05, whose data were analysed using ANOVA.Conclusion: Biological activity of the nanoparticles and its toxicity was assessed and found to possess the good antioxidant and reduction potential with significant antibacterial activity and were nontoxic.Â

CLINICAL PHARMACIST-LED PROGRAM ON MEDICATION RECONCILIATION AND PATIENT COUNSELING IN THE DEPARTMENT OF GASTROENTEROLOGY

Objective: To study the effects of medication reconciliation and patient counseling on the overall health benefits of the patients in the department of gastroenterology. Methods: This study is a prospective interventional study, was conducted in a 500 bedded MNR Hospital. The sample size taken was 150 patients and the study population comprised of patients aged 18-80 y, admitted in the hospital during the study period of six months. Results: Out of 150 patients, there were 98 (65.33%) male patients and 52 (34.67%) female patients. Patients between 18 and 30 y of age were 29(19.33%), between the age of 30 and 50 y were 71 (47.33%) and above 50 were 50(33.33%). Pancreatitis was most prevalent with 21% of total prevalence, followed by CLD and cholelithiasis with 17%, then IBD 16%, PUD and Gastritis 5%, GERD 4% and other diseases 15%. Conclusion: The basic role of the pharmacist, is to help in minimizing the errors and to perform medication reconciliation. In patient counseling, pharmacists provide information about the disease, and the medications to increase patient safety and the changes in the behavior for the better outcome

Spatial Relationship Between Criteria Pollutant Levels and Wheezing Due to Asthma in NC

In United States asthma is a major public health problem whose prevalence is increasing. Asthma exacerbations are triggered by exposure to air pollutants, as well as other factors such as tobacco smoke, molds, furry pets etc. My interest is to visually compare the spatial distribution of the Environmental Protection Agency (EPA) criteria pollutants, and asthma and wheezing symptoms in North Carolina. The criteria air pollutants are ozone, lead, particulate matter, carbon monoxide, SOx and NOx. The concentrations of most of these air pollutants have been increasing over many decades due to urbanization, manufacturing and industrial developments. The asthma outcome that this study focuses on is the prevalence of asthma and wheezing symptoms in children, because childhood asthma has been increasing and it is an important health concern in North Carolina. The North Carolina School Asthma Survey (NCSAS) data set was used in this work, which contains information on the breathing status of all children, enrolled in public 7th and 8th grades of age group 13-14 years during year 1999. The visual comparison of the exposure and health fields will be done using graphical exploratory of the data, and will be aided by the Bayesian Maximum Entropy (BME) method of modern Geostatistics.Master of Public Healt

PROPOSE OF HIGH COMPETENCE STEEL FIBER REINFORCED CONCRETE

Concrete is most likely one of the most thoroughly utilized building and construction product on the planet. The cornerstone in the traditional concrete is Portland concrete. The quantity of concrete manufacturing discharges around equivalent quantity of co2 right into the environment. Concrete manufacturing is eating considerable quantity of natural deposits. That has actually brought stress to minimize concrete usage by the use extra products. Accessibility of mineral admixtures significant opening of a brand-new age for making concrete mix of greater as well as greater toughness. Ground Granulated Blast Furnace Slag is a brand-new mineral admixture, whose possibility is not completely used. Furthermore just restricted researches have actually been performed in India on making use of slag for the growth of high toughness concrete with enhancement of steel fibers. The workability of common and also high stamina concrete is influenced by the incorporation of steel fiber dose as well as the fresh homes exposed the significance of keeping a high paste quantity for far better circulation capability. Based upon the recommended mix style technique with M-sand a high stamina self-compacting concrete was attained approximately 70MPa. Speculative examinations were reported on the various other analysis made from fresh as well as solidified homes of created self-compacting steel fiber concrete blends. Additionally, the end result of examination results disclosed the opportunity of utilizing M-sand as a choice for total substitute of river sand