Abstract
In this paper we provide a detailed analysis of the limiting behavior of some very general families of solutions to the boundary value problem Δv = 0 in Ω, ∂v/∂n = λ sinh(v) on ∂Ω, as λ → 0 +. The existence of countably many of these families has already been established in [Quart. Appl. Math., 60 (2002), pp. 675-694] and [Proc. Roy. Soc. Edinburgh Sect. A, 133 (2003), pp. 119-149].
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1772-1806 |
| Number of pages | 35 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 36 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2005 |
All Science Journal Classification (ASJC) codes
- Analysis
- Computational Mathematics
- Applied Mathematics
Keywords
- Blow-up
- Exponential boundary conditions
- Harmonic functions