Heteroclinic solutions of singular quasilinear bistable equations

In this note we consider the action functional integral(R x ω) (1-root [1-(|∇u|)^2] + W(u) dx¯), where W is a double well potential and ω is a bounded domain of RN-1. We prove existence, one-dimensionality and uniqueness (up to translations) of a smooth minimizing phase transition between the two st...

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Bibliographic Details
Main Author: Bonheure, Denis (author)
Other Authors: Coelho, Maria Isabel Esteves (author), NYS, Manon (author)
Format: article
Language:eng
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/10400.21/7539
Country:Portugal
Oai:oai:repositorio.ipl.pt:10400.21/7539