2 citations · 4 across the 21 of their papers we have counts for
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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…
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 \[ Δu+\la _1 u +g(u)=f(r) \s \mbox{for }, \s u=0…
Computation and analysis of global solution curves for super-critical equations
Philip Korman, Dieter S. Schmidt
We study analytical and computational aspects for Dirichlet problem on the unit ball : in , modeled on the equation \[ Δu +λ\left(u^p+u^q \right)=0, \;\; \mbox{in $…
Non-singular solutions of -Laplace problems, allowing multiple changes of sign in the nonlinearity
Philip Korman
For the -Laplace Dirichlet problem (where , ) \[ φ(u'(x))'+ f(u(x))=0 \;\;\;\; \mbox{for }, \;\; u(-1)=u(1)=0 \] assume that $f'(u)>(p-1)\frac{f(u)…