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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.

MSC:

35J15 Second-order elliptic equations
35J20 Variational methods for second-order elliptic equations
35J25 Boundary value problems for second-order elliptic equations
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