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Existence and Nonexistence of Solutions for Sublinear Equations on Exterior Domains (open access)

Existence and Nonexistence of Solutions for Sublinear Equations on Exterior Domains

This article studies radial solutions of Δu + K(r)ƒ(u) = 0 on the exterior of the ball of radius R > 0, BR, centered at the origin in ℝN with u = 0 on @BR where ƒ is odd with ƒ < 0 on (0; β), ƒ > 0 on (β;∞), f(u) ~ uᵖ with 0 < p < 1 for large u and K(r) ~ r⁻ᵅ for large r.
Date: September 13, 2017
Creator: Iaia, Joseph A.
System: The UNT Digital Library
Metal-organic framework nanocrystal-derived hollow porousmaterials: Synthetic strategies and emerging applications (open access)

Metal-organic framework nanocrystal-derived hollow porousmaterials: Synthetic strategies and emerging applications

Article discusses how the fascinating, functional properties and applications of MOF-derived hollow porous materials primarily lie in their chemical composition, hollow character, and unique porous structure. The authors discuss a comprehensive overview of the synthetic strategies and emerging applications of hollow porous materials derived from MOF-based templates and/or precursors.
Date: September 13, 2022
Creator: Lui, Xiaolu; Verma, Guarav; Chen, Zhongshan; Hu, Baowei; Huang, Qifei; Yang, Hui et al.
System: The UNT Digital Library