2 citations · 2 across the 5 of their papers we have counts for
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Explicit solutions and multiplicity results for some equations with the -Laplacian
Philip Korman
We derive explicit ground state solutions for several equations with the -Laplacian in , including (here , with ) \[ φ\left(u'(r)\right)' +\frac{n-1}{…
Nonlinear elliptic equations and systems with linear part at resonance
Philip Korman
The famous result of Landesman and Lazer [10] dealt with resonance at a simple eigenvalue. Soon after publication of [10], Williams [14] gave an extension for repeated eigenvalues.…
Families of solution curves for some non-autonomous problems
Philip Korman
The paper studies families of positive solution curves for non-autonomous two-point problems \[ u"+λf(u)-μg(x)=0, \;\; -1<x<1, \;\; u(-1)=u(1)=0 \] depending on two positive parame…
A periodic model for the dynamics of cell volume
Philip Korman
We prove the existence and uniqueness of positive periodic solution for a model describing the dynamics of cell volume flux, introduced in Julio A. Hernandez \cite{H}. We also show…
Global solution curves for several classes of singular periodic problems
Philip Korman
Using continuation methods and bifurcation theory, we study the exact multiplicity of periodic solutions, and the global solution structure, for three classes of periodically force…
Infinitely many solutions for three classes of self-similar equations, with the -Laplace operator
Philip Korman
We study the global solution curves, and prove the existence of infinitely many positive solutions for three classes of self-similar equations, with -Laplace operator. In case $…