Bistable Boundary Reactions in Two Dimensions

作者:Davila Juan*; del Pino Manuel; Musso Monica
来源:Archive for Rational Mechanics and Analysis, 2011, 200(1): 89-140.
DOI:10.1007/s00205-010-0337-3

摘要

In a bounded domain Omega subset of R(2) with smooth boundary we consider the problem Delta U =0 in Omega, du/dv = i/epsilon f(u) 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 f(u) = sin(pi u) or f(u) = (1 - u (2))u. We construct soluti

  • 出版日期2011-4