Asymptotic expansion of radial solutions for supercritical biharmonic equations

Details Asymptotic expansion of radial solutions for supercritical biharmonic equations Asymptotic expansion of radial solutions for supercritical biharmonic equations

2011-05-13

arxiv.org/abs/1105.2772v1

Mathematics

Analysis of PDEs

Scientific paper

Consider the positive, radial solutions of the nonlinear biharmonic equation
$\Delta^2 u = u^p$. There is a critical power $p_c$ such that solutions are
linearly stable if and only if $p\geq p_c$. We obtain their asymptotic
expansion at infinity in the case that $p\geq p_c$.

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