arXiv Analytics

Sign in

arXiv:1003.3578 [math.AP]AbstractReferencesReviewsResources

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

O. Costin, L. Dupaigne

Published 2010-03-18Version 1

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.

Comments: 3rd version, (previous versions available separately due to problem with Hal->Arxiv interconnexion)
Categories: math.AP
Related articles: Most relevant | Search more
arXiv:0901.4324 [math.AP] (Published 2009-01-27, updated 2009-03-19)
Boundary blow-up solutions in the unit ball : asymptotics, uniqueness and symmetry
arXiv:1509.08529 [math.AP] (Published 2015-09-28)
Fractional Laplace operator and Meijer G-function
arXiv:1506.06410 [math.AP] (Published 2015-06-21)
Schwarz lemma for harmonic mappings in the unit ball

Links

Toolbox