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Stationary solutions of the nonlinear Schrödinger equation with fast-decay potentials concentrating around local maxima

par Di Cosmo, Jonathan ;Van Schaftingen, Jean
Référence Calculus of variations and partial differential equations, 47, 1-2, page (243-271)
Publication Publié, 2013

Article révisé par les pairs

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Résumé :

We study positive bound states for the equation -ε2 Δu + Vu = up, in ℝN, where ε > 0 is a real parameter, and V is a nonnegative potential. Using purely variational techniques, we find solutions which concentrate at local maxima of the potential V without any restriction on the potential. © 2012 Springer-Verlag.