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Magnetic Schröodinger operators with discrete spectra on non-compact Kähler manifolds (open access)

Magnetic Schröodinger operators with discrete spectra on non-compact Kähler manifolds

This article identifies a class of magnetic Schrödinger operators on Kähler manifolds which exhibit pure point spectrum.
Date: May 17, 2013
Creator: Anghel, Nicolae
System: The UNT Digital Library
Existence of Solutions for Semilinear Problems With Prescribed Number of Zeros on Exterior Domains (open access)

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

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.
System: The UNT Digital Library