Three nodal solutions of singularly perturbed elliptic equations on domains without topology
Thomas Bartsch, Tobias Weth (2005)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Solitary waves for some nonlinear Schrödinger systems”
Three nodal solutions of singularly perturbed elliptic equations on domains without topology
Ground States of Nonlinear Schrödinger Equations with potentials vanishing at infinity
Antonio Ambrosetti, Veronica Felli, Andrea Malchiodi (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In this preliminary Note we outline the results of the forthcoming paper [2] dealing with a class on nonlinear Schrödinger equations with potentials vanishing at infinity. Working in weighted Sobolev spaces, the existence of a ground state is proved. Furthermore, the behaviour of such a solution, as the Planck constant tends to zero (semiclassical limit), is studied proving that it concentrates at a point.
Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth
Hui Zhang, Junxiang Xu, Fubao Zhang, Miao Du (2014)
Open Mathematics
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For a class of asymptotically periodic Schrödinger-Poisson systems with critical growth, the existence of ground states is established. The proof is based on the method of Nehari manifold and concentration compactness principle.
Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction
M. Colin, Th. Colin, M. Ohta (2009)
Annales de l'I.H.P. Analyse non linéaire
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On the existence of bright solitons in cubic-quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity.
Belmonte-Beitia, Juan (2008)
Mathematical Problems in Engineering
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Orbital stability of standing waves for a class of Schrödinger equations with unbounded potential.
Chen, Guanggan, Zhang, Jian, Wei, Yunyun (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Ground states of nonlinear Schrödinger equations with potentials
Yongqing Li, Zhi-Qiang Wang, Jing Zeng (2006)
Annales de l'I.H.P. Analyse non linéaire
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