Latest content added for UNT Digital Library Collection: UNT Scholarly Workshttps://digital.library.unt.edu/explore/collections/UNTSW/browse/?fq=str_month:05_may&fq=str_degree_department:Mathematics&sort=default&fq=untl_decade:2010-2019&display=grid2018-07-05T20:11:10-05:00UNT LibrariesThis is a custom feed for browsing UNT Digital Library Collection: UNT Scholarly WorksEnvironmental vibrios represent a source of antagonistic compounds that inhibit pathogenic Vibrio cholerae and Vibrio parahaemolyticus strains2017-09-17T18:24:22-05:00https://digital.library.unt.edu/ark:/67531/metadc993385/<p><a href="https://digital.library.unt.edu/ark:/67531/metadc993385/"><img alt="Environmental vibrios represent a source of antagonistic compounds that inhibit pathogenic Vibrio cholerae and Vibrio parahaemolyticus strains" title="Environmental vibrios represent a source of antagonistic compounds that inhibit pathogenic Vibrio cholerae and Vibrio parahaemolyticus strains" src="https://digital.library.unt.edu/ark:/67531/metadc993385/small/"/></a></p><p>This article predicts that marine-derived bacteria should inhibit Vibrio pathogens and may be a source of unique antibiotic compounds.</p>Magnetic Schröodinger operators with discrete spectra on non-compact Kähler manifolds2018-02-01T18:37:38-06:00https://digital.library.unt.edu/ark:/67531/metadc1065405/<p><a href="https://digital.library.unt.edu/ark:/67531/metadc1065405/"><img alt="Magnetic Schröodinger operators with discrete spectra on non-compact Kähler manifolds" title="Magnetic Schröodinger operators with discrete spectra on non-compact Kähler manifolds" src="https://digital.library.unt.edu/ark:/67531/metadc1065405/small/"/></a></p><p>This article identifies a class of magnetic Schrödinger operators on Kähler manifolds which exhibit pure point spectrum.</p>Infinitely Many Solutions for a Semilinear Problem on Exterior Domains With Nonlinear Boundary Condition2018-06-15T22:41:44-05:00https://digital.library.unt.edu/ark:/67531/metadc1164517/<p><a href="https://digital.library.unt.edu/ark:/67531/metadc1164517/"><img alt="Infinitely Many Solutions for a Semilinear Problem on Exterior Domains With Nonlinear Boundary Condition" title="Infinitely Many Solutions for a Semilinear Problem on Exterior Domains With Nonlinear Boundary Condition" src="https://digital.library.unt.edu/ark:/67531/metadc1164517/small/"/></a></p><p>This article proves the existence of an infinite number of radial solutions to Δu + K(r)ƒ(u) = 0 with a nonlinear boundary condition on the exterior of the ball of radius R centered at the origin in ℝᴺ.</p>Existence of Solutions for Semilinear Problems With Prescribed Number of Zeros on Exterior Domains2018-07-05T20:11:10-05:00https://digital.library.unt.edu/ark:/67531/metadc1212064/<p><a href="https://digital.library.unt.edu/ark:/67531/metadc1212064/"><img alt="Existence of Solutions for Semilinear Problems With Prescribed Number of Zeros on Exterior Domains" title="Existence of Solutions for Semilinear Problems With Prescribed Number of Zeros on Exterior Domains" src="https://digital.library.unt.edu/ark:/67531/metadc1212064/small/"/></a></p><p>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.</p>Existence and Nonexistence of Solutions for Sublinear Problems With Prescribed Number of Zeros on Exterior Domains2018-07-05T20:11:10-05:00https://digital.library.unt.edu/ark:/67531/metadc1212044/<p><a href="https://digital.library.unt.edu/ark:/67531/metadc1212044/"><img alt="Existence and Nonexistence of Solutions for Sublinear Problems With Prescribed Number of Zeros on Exterior Domains" title="Existence and Nonexistence of Solutions for Sublinear Problems With Prescribed Number of Zeros on Exterior Domains" src="https://digital.library.unt.edu/ark:/67531/metadc1212044/small/"/></a></p><p>This article proves the existence of radial solutions of Δu + K(r)ƒ(u) = 0 on the exterior of the ball, of radius R, centered at the origin in ℝᴺ such that limᵣ→∞u(r) = 0 if R > 0 is sufficiently small.</p>