Browsing by Subject "35J61"
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(John Wiley and Sons Ltd., 2019)© 2018 London Mathematical Society Let (Formula presented.) be an open bounded domain in (Formula presented.) with smooth boundary (Formula presented.). We consider the equation (Formula presented.), under zero Dirichlet ...
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(Springer, 2015)We consider the standing-wave problem for a nonlinear Schrödinger equation, corresponding to the semilinear elliptic problem − u + V(x)u = |u|p−1u, u ∈ H1(R2), where V(x) is a uniformly positive potential and p > 1. ...
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(Taylor & Francis, 2015)The Allen-Cahn equation - Delta u = u - u (3) in DOUBLE-STRUCK CAPITAL R-2 has family of trivial singly periodic solutions that come from the one dimensional periodic solutions of the problem -u '' =u - u (3). In this paper ...