Boundary blow-up solutions in the unit ball : asymptotics, uniqueness and symmetry (v3)

Autor:	Costin, O., Dupaigne, L.
Rok vydání:	2010
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	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. Comment: 3rd version, (previous versions available separately due to problem with Hal->Arxiv interconnexion)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1003.3578 Zobrazit plný text záznamu View this record from Arxiv