3 papers
math.DS2026
Global solution curves for first order periodic problems, with applications
Philip Korman, Dieter S. Schmidt
Using continuation methods and bifurcation theory, we study the exact multiplicity of periodic solutions, and the global solution structure, for periodic problems of first order. T…
math.AP2025
Infinitely many solutions and asymptotics for resonant oscillatory problems
Philip Korman, Dieter S. Schmidt
For a class of oscillatory resonant problems, involving Dirichlet problems for semilinear PDE's on balls and rectangles in , we show the existence of infinitely many solutions…
math.AP2025
Computation and analysis of global solution curves for super-critical equations
Philip Korman, Dieter S. Schmidt
We study analytical and computational aspects for Dirichlet problem on the unit ball : in , modeled on the equation \[ Îu +λ\left(u^p+u^q \right)=0, \;\; \mbox{in…