| Contents |
| A vast amount of literature on second-order semilinear elliptic equations with power-like nonlinearities is concerned with the existence, uniqueness or multiplicity, and qualitative behavior of solutions to various types of boundary-value problems. Lacking a maximum principle, higher-order analogues of such problems require entirely new methods, even if expected results are similar to what is known in the second-order case. As a first step toward a better understanding of the higher-order case, we have been using dynamical-systems methods to study radially symmetric solutions of polyharmonic equations with pure power nonlinearities. We give a survey of our results and their implications. |
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