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math.DS2026
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…
math.AP2026
Global solution curves in harmonic parameters, and multiplicity of solutions
Philip Korman
\[ Δu+g(u)=f(x) \s \mbox{for }, \s u=0 \s \mbox{on } \] decompose $f(x)=μ_1 \p _1+e(x)$, where $\p _1$ is the principal eigenfunction of the Laplacian with zer…
math.AP2026
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],…