Browsing by Author "Mahmoudi, Fethi"
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Construction of a stable periodic solution to a semilinear heat equation with a prescribed profile Mahmoudi, Fethi; Nouaili, Nejla; Zaag, Hatem (Elsevier, 2016)We construct a periodic solution to the semilinear heat equation with power nonlinearity, in one space dimension, which blows up in finite time T only at one blow-up point. We also give a sharp description of its blow-up ...
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Fall, Mouhamed Moustapha; Mahmoudi, Fethi; Valdinoci, Enrico (IOP Publishing, 2015)We consider here solutions of the nonlinear fractional Schr¨odinger equation ε2s(− )su + V (x)u = up. We show that concentration points must be critical points for V . We also prove that if the potential V is coercive ...
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Mahmoudi, Fethi; Subiabre Sánchez, Felipe; Yao, Wei (Elsevier, 2015)We study positive solutions of the following semilinear equation epsilon 2 Delta((g) over bar)u - V(z)u + u(p) = o on M, where (M, (g) over bar) is a compact smooth n-dimensional Riemannian manifold without boundary ...