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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 \[ Δu +λ\left(u^p+u^q \right)=0, \;\; \mbox{in $…
math.AP2020
Continuation of global solution curves using global parameters
Philip Korman, Dieter S. Schmidt
This paper provides both the theoretical results and numerical calculations of global solution curves, by continuation in global parameters. Each point on the solution curves is co…