Radial Solutions and Phase Separation in a System of Two Coupled Schrödinger Equations
By Jun-cheng Wei, Tobias Weth. 2008
258 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/e4daf1bf6238631880428d0010343f8ed920bc0c
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Citations in the corpus
- Segregated and Synchronized Vector Solutions for Nonlinear Schrödinger Systems (2013, methodology): “In [9,30] the minimax method is used to give infinitely many radial positive solutions for 2-systems (see also [26] for generalizations to the N -systems).”
- Infinitely many positive solutions for nonlinear equations with non-symmetric potentials (2012, background): “Phase separation has been proved in several cases with constant potentials such as in the work [5, 14, 22, 34, 43, 44] as the coupling constant β tends to negative infinity.”
- Multipulse Phases in k-Mixtures of Bose–Einstein Condensates (2008, background): “In the recent paper [ 16 ], Wei and Weth have shown that, in the case of k = 2 components, there are solutions (U1, U2) such that the difference U1 − U2, for large values of β, approaches some sign–changing solution W of (2).”
- A natural constraint approach to normalized solutions of nonlinear Schr\"odinger equations and systems (2016, background): “[2,10,15,25,28,29,31,38,40,41,42,51,53] and the references therein, while problem (1.”
- A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system (2010, unknown): “8) with a prescribed number of intersections of u and v, see [30].”
- Positive Least Energy Solutions and Phase Separation for Coupled Schrödinger Equations with Critical Exponent (2012, background): “1) in subcritical case 2p < 2∗ by [34, 35, 28].”
- Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case (2015, background): “1) in subcritical case 2p < 2∗ by [29,35,36].”