Stability and intersection properties of solutions to the nonlinear biharmonic equation

Details Stability and intersection properties of solutions to the nonlinear biharmonic equation Stability and intersection properties of solutions to the nonlinear biharmonic equation

2007-07-23

arxiv.org/abs/0707.3450v1

Mathematics

Analysis of PDEs

Scientific paper

We study the positive, regular, radially symmetric solutions to the nonlinear biharmonic equation $\Delta^2 \phi = \phi^p$. First, we show that there exists a critical value $p_c$, depending on the space dimension, such that the solutions are linearly unstable if $p

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