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Existence of Solutions for Sublinear Equations on Exterior Domains
This article proves the existence of an infinite number of radial solutions of Δu+K(r)ƒ(u) = 0, one with exactly n zeros for each nonnegative integer n on the exterior of the ball of radius R > 0, Bʀ, centered at the origin in ℝᴺ with u = 0 on ∂Bʀ and limᵣ→∞u(r) = 0 where N > 2, f is odd with ƒ < 0 on (0; β), ƒ > 0 on (β;∞), ƒ(u) ~ uᵖ with 0 < p < 1 for large u and K(r) ~ r-α with 0 < α < 2 for large r.
Date:
October 10, 2017
Creator:
Iaia, Joseph A.
System:
The UNT Digital Library
IslandCafe: Compositional Anomaly and Feature Enrichment Assessment for Delineation of Genomic Islands
Article discusses IslandCafe, a proposed method for genomic island detection.
Date:
October 1, 2019
Creator:
Jani, Mehul & Azad, Rajeev K.
System:
The UNT Digital Library
Estimating Hausdorff measure for Denjoy maps
Article describes how the authors plant to deal with orientation preserving homeomorphisms and, more specifically, diffeomorphisms of the unit circle S1. By employing the recurrence method worked out in Pawelec the authors provide effective lower estimates of the proper-dimensional Hausdorff measure of minimal sets of circle homeomorphisms that are not conjugate to any rotation.
Date:
October 20, 2023
Creator:
Pawelec, Łukasz & Urbański, Mariusz
System:
The UNT Digital Library