NONLINEAR DIRAC EQUATION ON GRAPHS WITH LOCALIZED NONLINEARITIES: BOUND STATES AND NONRELATIVISTIC LIMIT
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作者:
Borrelli, William
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Univ Paris 09, PSL Res Univ, CNRS, UMR 7534, F-75016 Paris, FranceUniv Paris 09, PSL Res Univ, CNRS, UMR 7534, F-75016 Paris, France
Borrelli, William
[1
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Carlone, Raffaele
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Univ Federico II Napoli, Dipartimento Matemat & Applicaz R Caccioppoli, MSA, Via Cinthia, I-80126 Naples, ItalyUniv Paris 09, PSL Res Univ, CNRS, UMR 7534, F-75016 Paris, France
Carlone, Raffaele
[2
]
Tentarelli, Lorenzo
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Univ Federico II Napoli, Dipartimento Matemat & Applicaz R Caccioppoli, MSA, Via Cinthia, I-80126 Naples, ItalyUniv Paris 09, PSL Res Univ, CNRS, UMR 7534, F-75016 Paris, France
Tentarelli, Lorenzo
[2
]
机构:
[1] Univ Paris 09, PSL Res Univ, CNRS, UMR 7534, F-75016 Paris, France
[2] Univ Federico II Napoli, Dipartimento Matemat & Applicaz R Caccioppoli, MSA, Via Cinthia, I-80126 Naples, Italy
In this paper we study the nonlinear Dirac (NLD) equation on noncompact metric graphs with localized Kerr nonlinearities, in the case of Kirchhoff-type conditions at the vertices. Precisely, we discuss existence and multiplicity of the bound states (arising as critical points of the NLD action functional) and we prove that, in the L-2-subcritical case, they converge to the bound states of the nonlinear Schrodinger equation in the nonrelativistic limit.
机构:
Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
Yanqi Lake Beijing Inst Math Sci & Applicat, Beijing 101408, Peoples R ChinaWuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
He, Ying
Wang, Yan
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Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R ChinaWuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
Wang, Yan
Yang, Jerry Zhijian
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Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R ChinaWuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
Yang, Jerry Zhijian
Yin, Hongshuang
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Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R ChinaWuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
机构:
Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
Ding, Y. H.
Lee, C.
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Natl Changhua Univ Educ, Dept Math, Changhua 500, TaiwanChinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
Lee, C.
Ruf, B.
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机构:
Univ Milan, Dipartimento Matemat, I-20133 Milan, ItalyChinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China