Multiple blow-up phenomena for the sinh-Poisson equation. (English) Zbl 1303.35088
This paper deals with the study of a semilinear elliptic equation, involving a small positive parameter, in a smooth bounded domain, which contains the origin and is symmetric about it. The blow-up analysis of solutions to this problem is presented; in particular, a family of solutions to this problem is constructed, which blows up at the origin.
Reviewer: V. D. Sharma (Mumbai)
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 35B44 | Blow-up in context of PDEs |
| 35J61 | Semilinear elliptic equations |
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