Abstract
Consider the positive, radial solutions of the nonlinear biharmonic equation Δ2 φ = φ p. There is a critical power p c such that solutions are linearly stable if and only if p ≥ p c . We obtain their asymptotic expansion at infinity in the case that p ≥ p c .
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Karageorgis, P. Asymptotic expansion of radial solutions for supercritical biharmonic equations. Nonlinear Differ. Equ. Appl. 19, 401–415 (2012). https://doi.org/10.1007/s00030-011-0135-0
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DOI: https://doi.org/10.1007/s00030-011-0135-0