arXiv:0901.4324 Abstract | arXiv Analytics

arXiv:0901.4324 [math.AP]Abstract References Reviews Resources

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

Published 2009-01-27, updated 2009-03-19Version 2

We calculate the full asymptotic expansion of boundary blow-up so- lutions, 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. At last, we study in more detail the standard nonlinearities f (u) = u^p, p > 1

DOI: 10.1016/j.jde.2010.02.023

Categories: math.AP

Keywords: boundary blow-up solutions, unit ball, state sharp qualitative results, sharp qualitative results regarding uniqueness, full asymptotic expansion

Tags: journal article

Related articles: Most relevant | Search more

arXiv:1003.3578 [math.AP] (Published 2010-03-18)

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

O. Costin, L. Dupaigne

arXiv:2501.11565 [math.AP] (Published 2025-01-20)

Minimizing Harmonic Maps on the Unit Ball with Tangential Anchoring

Lia Bronsard, Andrew Colinet, Dominik Stantejsky

arXiv:2005.05667 [math.AP] (Published 2020-05-12)