Asymptotic expansion of radial solutions for supercritical biharmonic equations

Paschalis Karageorgis

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arXiv · 1105.2772

Asymptotic expansion of radial solutions for supercritical biharmonic equations

Paschalis Karageorgis

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Abstract

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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Paschalis Karageorgis. 2011-05-13. Asymptotic expansion of radial solutions for supercritical biharmonic equations. https://arxiv.org/abs/1105.2772

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