The Conley index over a space.
A simple proof of the degree formula for (Z/p)-equivariant maps.
A global index for bifurcation of fixed points.
Critical orbits of symmetric functionals.
On the genus of represenattion spheres.
Bifurcation of stationary and heteroclinic orbits for parametrized gradient-like flows
A generalization of the Weinstein-Moser theorems on periodic orbits of a hamiltonian system near an equilibrium
Periodic solutions of non-autonomous Hamiltonian systems with symmetries.
The compact category and mulitple periodic solutions of Hamiltionian systems on symmetric starshaped energy surfaces.
Bifurcation Theory for Symmetric Potential Operators and the Equvariant Cup-length.
Three nodal solutions of singularly perturbed elliptic equations on domains without topology
Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations
We prove a Liouville type theorem for sign-changing radial solutions of a subcritical semilinear heat equation . We use this theorem to derive a priori bounds, decay estimates, and initial and final blow-up rates for radial solutions of rather general semilinear parabolic equations whose nonlinearities have a subcritical polynomial growth. Further consequences on the existence of steady states and time-periodic solutions are also shown.
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