P
Philip Korman
Researcher at University of Cincinnati
Publications - 138
Citations - 1431
Philip Korman is an academic researcher from University of Cincinnati. The author has contributed to research in topics: Boundary value problem & Uniqueness. The author has an hindex of 19, co-authored 134 publications receiving 1365 citations. Previous affiliations of Philip Korman include Ohio State University & University of Iowa.
Papers
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Homoclinic Orbits for a Class of Symmetric Hamiltonian Systems
Philip Korman,Alan C. Lazer +1 more
TL;DR: In this article, the existence of homoclinic orbits for a class of Hamiltonian systems that are symmetric with respect to independent variable (time) was studied for the scalar case.
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Exact Multiplicity Results for Boundary Value Problems with Nonlinearities Generalizing Cubic
TL;DR: In this paper, the authors present exact multiplicity results for boundary value problems of the type where the nonlinearity is independent of x and behaves like a cubic in u and the second one deals with a class of nonlinearities with explicit x dependence.
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On the existence and uniqueness of positive steady states in the volterra-lotka ecological models with diffusion
Philip Korman,Anthony W. Leung +1 more
TL;DR: In this article, a detailed analysis of the steady state solutions for the Volterra-Lotka model of two cooperating species was given, and some new nonexistence results for the competing species case was shown.
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An Exact Multiplicity Result for a class of Semilinear Equations
TL;DR: For a class of Dirichlet problems in two dimensions, generalizing the model case, this paper showed existence of a critical so that there are exactly 0, 1 or 2 nontrivial solutions.
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On the exactness of an S-shaped bifurcation curve
Philip Korman,Yi Li +1 more
TL;DR: In this paper, the exactness of S-shaped bifurcation curves has been proved for a class of two-point boundary value problems from combustion theory, which involves nonlinearities like e > 0.