7 papers
Global solution curves for first order periodic problems, with applications
Philip Korman, Dieter S. Schmidt
Using continuation methods and bifurcation theory, we study the exact multiplicity of periodic solutions, and the global solution structure, for periodic problems of first order. T…
Global solution curves in harmonic parameters, and multiplicity of solutions
Philip Korman
\[ Îu+g(u)=f(x) \s \mbox{for }, \s u=0 \s \mbox{on } \] decompose $f(x)=μ_1 \p _1+e(x)$, where $\p _1$ is the principal eigenfunction of the Laplacian with…
Generalized Pohozhaev's identity for radial solutions of -Laplace equations
Philip Korman
We derive a generalized Pohozhaev's identity for radial solutions of -Laplace equations, by using the approach in [5], thus extending the work of H. Brézis and L. Nirenberg [2]…
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…
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 around the origin \[ Îu+\la _1 u +g(u)=f(r) \s \mbox{for }, \s u=…
Nonlinear oscillators at resonance with periodic forcing
Philip Korman, Yi Li
In this note we unify the results of A.C. Lazer and P.O. Frederickson [3], A.C. Lazer [6], A.C. Lazer and D.E. Leach [7], J.M. Alonso and R. Ortega [1], and P. Korman and Y. Li [4]…