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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 \[ Îu +λ\left(u^p+u^q \right)=0, \;\; \mbox{in…