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 . There is a critical power such that solutions are linearly stable if and only if . We obtain their asymptotic expansion at infinity in the case that .
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}
}