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Singular Limits of a Two-Dimensional Boundary Value Problem Arising in Corrosion Modelling |
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| Authors: | Juan Dávila Manuel del Pino Monica Musso Juncheng Wei |
| Institution: | 1. Departamento de Ingeniería Matemática and CMM, Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile 2. Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy 3. Departamento de Matemática, Pontificia Universidad Catolica de Chile, Vicu?a Mackenna 4860, Macul, Chile 4. Department of Mathematics, The Chinese University of Hong-Kong, Shatin, Hong Kong |
| Abstract: | 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 u
λ
with the property that the boundary flux satisfies up to subsequences λ → 0,
where the ξ
j
are points of ∂Ω ordered clockwise in j. |
| Keywords: | |
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