For every sufficiently small ρ there exist tiny hole radii such that the sinh-Poisson problem has a solution blowing up positively at m1 prescribed points and negatively at the remaining points as ρ→0.
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A note on a sinh-Poisson type equation with variable intensities on pierced domains
For every sufficiently small ρ there exist tiny hole radii such that the sinh-Poisson problem has a solution blowing up positively at m1 prescribed points and negatively at the remaining points as ρ→0.