Existence of Infinitely Many Solutions for Singular Semilinear Problems on Exterior Domains (open access)

Existence of Infinitely Many Solutions for Singular Semilinear Problems on Exterior Domains

Article proving the existence of infinitely many radial solutions of โˆ†๐“Š+๐พ(๐“‡) ฦ’ (๐“Š) = 0 on the exterior of the ball of radius R > 0, BR, centered at the origin in โ„แดบ with u = 0 on โˆ‚BR and lim/rโ†’โˆž ๐“Š(๐“‡) = 0 where N > 2, f is odd with f < 0 on (0, ฮฒ), f > 0 on (ฮฒ, โˆž), f is superlinear for large u, ฦ’(๐“Š) โˆผ โˆ’1/(|๐“Š|๐˜ฒโปยน๐“Š) with 0 < q < 1 for small u, and 0 < ๐พ(๐“‡) โ‰ค ๐พโ‚/rโˆ with ๐‘ + q(๐‘ โˆ’ 2) < โˆ < 2(๐‘โˆ’ 1) for large r.
Date: March 9, 2018
Creator: Iaia, Joseph A.
System: The UNT Digital Library
Mechanical Properties of Chemically Modified Clay (open access)

Mechanical Properties of Chemically Modified Clay

Article uses first principles methods to compare the mechanical properties of lizardite Mg3(Si2O5)(OH)4, a polymorph of serpentine family, with the new compounds derived by substituting Mg ions with isovalent elements from different chemical groups.
Date: September 23, 2019
Creator: Gusmรฃo, M. S.; Gopal, Priya; Siloi, Ilaria; Curtarolo, Stefano; Fornari, Marco & Buongiorno Nardelli, Marco
System: The UNT Digital Library