P. Korman

activity

20162026

most citedA remark on Pinney's equation

2 citations · 2 across the 13 of their papers we have counts for

collaborators

Showing 2025 · math.APShow all

3 papers · 2 filters

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 $R^{n}$ , we show the existence of infinitely many solutions…

math.AP2025

Infinitely many solutions for a class of resonant problems

Philip Korman

We consider radially symmetric solutions for a class of resonant problems on a unit ball $B \subset R^{n}$ around the origin \[ Δu+\la _1 u +g(u)=f(r) \s \mbox{for $x \in B$ }, \s u=0…

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 $B$ : $∣ x ∣ < 1$ in $R^{n}$ , modeled on the equation \[ Δu +λ\left(u^p+u^q \right)=0, \;\; \mbox{in $…