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In a bounded domain Omega subset of R2 with smooth boundary we consider the problem Delta U =0 in Omega, du-dv = i-epsilon fu on d Omega where nu is the unit normal exterior vector, epsilon > 0 is a small parameter and f is a bistable nonlinearity such as fu = sinpi u or fu = 1 - u 2u. We construct solutions that develop multiple transitions from -1 to 1 and vice-versa along a connected component of the boundary a,I c. We also construct an explicit solution when Omega is a disk and fu = sinpi u.Nota general

Artículo de publicación ISI



Author: Dávila, Juan; - Pino, Manuel del; - Musso, Mónica; -

Source: http://repositorio.uchile.cl/



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