Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501705 | Journal of Differential Equations | 2005 | 31 Pages |
Abstract
The structure of positive boundary blow-up solutions to quasi-linear elliptic problems of the form âÎpu=λf(u), u=â on âΩ, 1
0 in (z1,z2). Large, small and intermediate solutions are obtained for λ sufficiently large. It is known from Part I (see Structure of boundary blow-up solutions for quasilinear elliptic problems, part (I): large and small solutions, preprint), that the large solution is the unique large solution to the problem. We will see that the small solution is also the unique small solution to the problem while there are infinitely many intermediate solutions. Our results are new even for the case p=2.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Zongming Guo, J.R.L. Webb,