English

Asymptotic expansion of radial solutions for supercritical biharmonic equations

Analysis of PDEs 2011-05-16 v1

Abstract

Consider the positive, radial solutions of the nonlinear biharmonic equation Δ2u=up\Delta^2 u = u^p. There is a critical power pcp_c such that solutions are linearly stable if and only if ppcp\geq p_c. We obtain their asymptotic expansion at infinity in the case that ppcp\geq p_c.

Keywords

Cite

@article{arxiv.1105.2772,
  title  = {Asymptotic expansion of radial solutions for supercritical biharmonic equations},
  author = {Paschalis Karageorgis},
  journal= {arXiv preprint arXiv:1105.2772},
  year   = {2011}
}