Singular Limits of a Two-Dimensional Boundary Value Problem Arising in Corrosion Modelling
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- Dávila, J., Pino, M., Musso, M. et al. Arch Rational Mech Anal (2006) 182: 181. doi:10.1007/s00205-006-0421-x
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We consider the boundary value problem
where Ω is a smooth and bounded domain in ℝ2 and λ > 0. We prove that for any integer k ≧ 1 there exist at least two solutions uλ with the property that the boundary flux satisfies up to subsequences λ → 0,
where the ξj are points of ∂Ω ordered clockwise in j.