2 papers
math.AP2025
Unbounded Branches of Non-Radial Solutions to Semilinear Elliptic Systems on a Disc and their Patterns
Ziad Ghanem, Casey Crane
In this paper, we leverage the -equivariant Leray-Schauder degree and a novel characterization of the Burnside Ring presented by…
math.AP2024
Global Bifurcation in Symmetric Systems of Nonlinear Wave Equations
Carlos Garcia-Azpeitia, Ziad Ghanem, Wieslaw Krawcewicz
In this paper, we use the equivariant degree theory to establish a global bifurcation result for the existence of non-stationary branches of solutions to a nonlinear, two-parameter…