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Existence and Nonexistence of Solutions for Semilinear Equations on Exterior Domains

Description: This article studies radial solutions of Δu + K(r)ƒ(u) = 0 on the exterior of the ball of radius R > 0 centered at the origin in ℝᴺ where ƒ is odd with ƒ < 0 on (0,ß), ƒ > 0 on (β, δ), ƒ ≡ 0 for u > δ, and where the function K(r) is assumed to be positive and K(r) → 0 as r → ∞.
Date: August 22, 2016
Creator: Iaia, Joseph A.
open access

Existence of Solutions for Semilinear Problems With Prescribed Number of Zeros on Exterior Domains

Description: This article proves the existence of an infinite number of radial solutions of Δ(u) + f(u) = 0 with prescribed number of zeros on the exterior of the ball of radius R > 0 centered at the origin in ℝᴺ where f is odd with f < 0 on (0, β), f > 0 on (β,∞) where β > 0.
Date: May 3, 2016
Creator: Joshi, Janak & Iaia, Joseph A.
open access

Generalized parameter-free duality models in discrete minmax fractional programming based on second-order optimality conditions

Description: This article discusses the construction of six generalized second-order parameter-free duality models, and proves several weak, strong, and strict converse duality theorems for a discrete minmax fractional programming problem using two partitioning schemes and various types of generalized second-order (ℱ, β, ɸ, 𝜌, θ, 𝑚)-univexity assumptions.
Date: November 8, 2016
Creator: Zalmai, G. J. & Verma, Ram U.
open access

Generalized second-order parametric optimality conditions in semiinfinitediscrete minmax fractional programming and second order (F,β,φ,ρ,θ,m)-univexity

Description: Article discusses establishing numerous sets of generalized second order paramertic sufficient optimality conditions for a semiinfinite discrete minmax fractional programming problem, while the results on semiinfinite discrete minmax fractional programming problem achieved based on some partitioning schemes under various types of generalized second order univexity assumptions.
Date: February 28, 2016
Creator: Verma, Ram U. & Zalmai, G. J.
open access

Glucose or Altered Ceramide Biosynthesis Mediate Oxygen Deprivation Sensitivity Through Novel Pathways Revealed by Transcriptome Analysis in Caenorhabditis elegans

Description: This article discusses how RNA-sequencing analysis was performed to assess how a glucose-supplemented diet and/or a hyl-2 mutation altered the transcriptome.
Date: August 5, 2016
Creator: Ladage, Mary L.; King, Skylar D.; Burks, David J.; Quan, Daniel L.; Garcia, Anastacia M.; Azad, Rajeev K. et al.
open access

Identification of Novel Genomic Islands in Liverpool Epidemic Strain of Pseudomonas aeruginosa Using Segmentation and Clustering

Description: This article utilizes a recursive segmentation and cluster procedure presented as a genome-mining tool, GEMINI, to decipher genomic islands and understand their contributions to the evolution of virulence and antibiotic resistance in Pseudomonas aeruginosa.
Date: August 3, 2016
Creator: Jani, Mehul; Mathee, Kalal & Azad, Rajeev K.
open access

Interactions between mitoNEET and NAF-1 in cells

Description: This article uses yeast two-hybrid to demonstrate through vivo bimolecular fluorescence complementation (BiFC), direct coupling analysis (DCA), RNA-sequencing, ROS and iron imaging, and single and double shRNA lines with suppressed mNT, NAF-1 and mNT/NAF-1 expression, that mNT and NAF-1 directly interact in mammalian cells and could function in the same cellular pathway.
Date: April 20, 2017
Creator: Karmi, Ola; Holt, Sarah H.; Song, Luhua; Tamir, Sagi; Luo, Yuting; Bai, Fang et al.
open access

Loitering at the hilltop on exterior domains

Description: In this article, the author proves the existence of an infinite number of radial solutions of Δu+f(u)=0 on the exterior of the ball of radius R>0 centered at the origin and f is odd with f<0 on (0,β), f>0 on (β,δ), and f≡0 for u>δ. The primitive F(u)=∫u0f(t)dt has a "hilltop" at u=δ which allows one to use the shooting method and ODE techniques to prove the existence of solutions.
Date: November 23, 2015
Creator: Iaia, Joseph A.
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