Boundary blow-up solutions in the unit ball : asymptotics, uniqueness and symmetry (v3)
arXiv:1003.3578
Abstract
We calculate the full asymptotic expansion of boundary blow-up solutions, for any nonlinearity f. Our approach enables us to state sharp qualitative results regarding uniqueness and ra-dial symmetry of solutions, as well as a characterization of nonlinearities for which the blow-up rate is universal. Lastly, we study in more detail the standard nonlinearities f(u) = u^p, p > 1.
3rd version, (previous versions available separately due to problem with Hal->Arxiv interconnexion)