A symmetry-breaking phenomenon and asymptotic profiles of least-energy solutions to a nonlinear Schrödinger equation
2005 ◽
Vol 135
(2)
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pp. 357-392
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Keyword(s):
In this paper, we study a symmetry-breaking phenomenon of a least-energy solution to a nonlinear Schrödinger equation under suitable assumptions on V(x), where λ > 1, p > 2 and χA is the characteristic function of the set A = [−(l + 2), −l] ∪ [l,l + 2] with l > 0. We also study asymptotic profiles of least-energy solutions for the singularly perturbed problem for small ε > 0.
2017 ◽
Vol 37
(7)
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pp. 3963-3987
2000 ◽
Vol 41
(5-6)
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pp. 763-778
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2018 ◽
Vol 462
(1)
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pp. 285-297
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Vol 253
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pp. 2796-2824
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1988 ◽
Vol 109
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pp. 109-126
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1981 ◽
pp. 255-266
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2011 ◽
Vol 308
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pp. 795-844
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2021 ◽
2000 ◽
Vol 130
(5)
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pp. 1029-1043
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