1 citations · 1 across the 8 of their papers we have counts for
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On the perturbed Gelfand equation from combustion theory
Philip Korman, Yi Li, Tiancheng Ouyang
For the perturbed Gelfand's equation on the unit ball in two dimensions, Y. Du and Y. Lou [4] proved that the curve of positive solutions is exactly -shaped, for sufficiently sm…
Non-existence of solutions for non-autonomous elliptic systems of Hamiltonian type
Philip Korman
We extend the classical Pohozaev's identity to semilinear elliptic systems of Hamiltonian type, providing a simpler approach, and a generalization, of the results of E. Mitidieri […
A global solution curve for a class of periodic problems, including the relativistic pendulum
Philip Korman
Using continuation methods, we study the global solution structure of periodic solutions for a class of periodically forced equations, generalizing the case of relativistic pendulu…
A global solution curve for a class of free boundary value problems arising in plasma physics
Philip Korman
We study the existence and multiplicity of solutions and the global solution curve of the following free boundary value problem, arising in plasma physics, see R. Temam [18], and H…
Regularization of radial solutions of -Laplace equations, and computations using infinite series
Philip Korman
We consider radial solutions of equations with the -Laplace operator in . We introduce a change of variables, which in effect removes the singularity at . While soluti…