P. Korman

activity

20162020

most citedA remark on Pinney's equation

2 citations · 2 across the 5 of their papers we have counts for

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Showing 2020 · math.APShow all

2 papers · 2 filters

math.AP2020

Non-singular solutions of $p$ -Laplace problems, allowing multiple changes of sign in the nonlinearity

Philip Korman

For the $p$ -Laplace Dirichlet problem (where $φ (t) = t ∣ t ∣^{p - 2}$ , $p > 1$ ) \[ φ(u'(x))'+ f(u(x))=0 \;\;\;\; \mbox{for $- 1 < x < 1$ }, \;\; u(-1)=u(1)=0 \] assume that $f'(u)>(p-1)\frac{f(u)…

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…

Non-singular solutions of p-Laplace problems, allowing multiple changes of sign in the nonlinearity

Continuation of global solution curves using global parameters

Non-singular solutions of $p$ -Laplace problems, allowing multiple changes of sign in the nonlinearity