Mixed interior and boundary nodal bubbling solutions for a sinh-Poisson equation. (English) Zbl 1217.35055
The paper investigates concentration phenomena of solutions for the sinh-Poisson equation on a bounded two-dimensional domain with homogeneous Neumann boundary condition and which depends on a small positive parameter. The existence of a family of solutions that concentrate in the domain and on the boundary is shown.
Reviewer: Dumitru Motreanu (Perpignan)
MSC:
35J15 | Second-order elliptic equations |
35J20 | Variational methods for second-order elliptic equations |
35J25 | Boundary value problems for second-order elliptic equations |