| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4612093 | Journal of Differential Equations | 2010 | 34 Pages |
Abstract
We calculate the full asymptotic expansion of boundary blow-up solutions (see Eq. (1) below), for any nonlinearity f. Our approach enables us to state sharp qualitative results regarding uniqueness and radial 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)=up, p>1.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
