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Volumn 81, Issue 12, 2002, Pages 1207-1239

Existence of nonstationary bubbles in higher dimensions

Author keywords

Existence of travelling waves; Local mountain pass theorem; Nonlinear Schr dinger equation; Regularity

Indexed keywords


EID: 0036922015     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-7824(02)01274-6     Document Type: Article
Times cited : (38)

References (13)
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    • (1988) Phys. Lett. A , vol.128 , pp. 52-56
    • Barashenkov, I.V.1    Makhankov, V.G.2
  • 3
    • 0020591567 scopus 로고
    • Nonlinear scalar field equations, I: Existence of a ground state, and II: Existence of infinitely many solutions
    • H. Berestycki, P.-L. Lions, Nonlinear scalar field equations, I: Existence of a ground state, and II: Existence of infinitely many solutions, Arch. Rational Mech. Anal. 82 (1983) 313-375.
    • (1983) Arch. Rational Mech. Anal. , vol.82 , pp. 313-375
    • Berestycki, H.1    Lions, P.-L.2
  • 4
    • 0038884774 scopus 로고
    • Instability of stationary bubbles
    • A. de Bouard, Instability of stationary bubbles, SIAM J. Math. Anal. 26 (3) (1995) 566-582.
    • (1995) SIAM J. Math. Anal. , vol.26 , Issue.3 , pp. 566-582
    • de Bouard, A.1
  • 5
    • 0001735158 scopus 로고
    • Remarks on the Schrödinger operator with singular complex potentials
    • H. Brezis, T. Kato, Remarks on the Schrödinger operator with singular complex potentials, J. Math. Pures Appl. 58 (1979) 137-151.
    • (1979) J. Math. Pures Appl. , vol.58 , pp. 137-151
    • Brezis, H.1    Kato, T.2
  • 6
    • 4243920494 scopus 로고    scopus 로고
    • Slow travelling bubbles in two and three dimension
    • Preprint
    • Z. Lin, Slow travelling bubbles in two and three dimension, Preprint, 1999.
    • (1999)
    • Lin, Z.1
  • 7
    • 0012309529 scopus 로고    scopus 로고
    • Stability and instability of travelling solitonic bubbles
    • Z. Lin, Stability and instability of travelling solitonic bubbles, Adv. Differential Equations 7 (8) (2002) 897-918.
    • (2002) Adv. Differential Equations , vol.7 , Issue.8 , pp. 897-918
    • Lin, Z.1
  • 9
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    • The principle of symmetric criticality
    • R.S. Palais, The principle of symmetric criticality, Comm. Math. Phys. 69 (1979) 19-30.
    • (1979) Comm. Math. Phys. , vol.69 , pp. 19-30
    • Palais, R.S.1
  • 12
    • 0000686130 scopus 로고
    • Modulational stability of ground states of nonlinear Schrödinger equations
    • M. Weinstein, Modulational stability of ground states of nonlinear Schrödinger equations, SIAM J. Math. Anal. 16 (3) (1985) 472-491.
    • (1985) SIAM J. Math. Anal. , vol.16 , Issue.3 , pp. 472-491
    • Weinstein, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.