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Volumn , Issue 30, 2004, Pages 1511-1527

Minimality and nondegeneracy of degree-one Ginzburg-Landau vortex as a Hardy's type inequality

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EID: 2642538647     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792804133588     Document Type: Article
Times cited : (36)

References (12)
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    • X. Chen, C. M. Elliott, and T. Qi, Shooting method for vortex solutions of a complex-valued Ginzburg-Landau equation, Proc. Roy. Soc. Edinburgh Sect. A 124 (1994), no. 6, 1075-1088.
    • (1994) Proc. Roy. Soc. Edinburgh Sect. A , vol.124 , Issue.6 , pp. 1075-1088
    • Chen, X.1    Elliott, C.M.2    Qi, T.3
  • 4
    • 0002163970 scopus 로고    scopus 로고
    • Symmetric solutions of the Ginzburg-Landau equation in all dimensions
    • S. Gustafson, Symmetric solutions of the Ginzburg-Landau equation in all dimensions, Int. Math. Res. Not. 1997 (1997), no. 16, 807-816.
    • (1997) Int. Math. Res. Not. , vol.1997 , Issue.16 , pp. 807-816
    • Gustafson, S.1
  • 5
    • 0041471561 scopus 로고    scopus 로고
    • Dynamic stability of magnetic vortices
    • _, Dynamic stability of magnetic vortices, Nonlinearity 15 (2002), no. 5, 1717-1728.
    • (2002) Nonlinearity , vol.15 , Issue.5 , pp. 1717-1728
  • 6
    • 0034349020 scopus 로고    scopus 로고
    • The stability of magnetic vortices
    • S. Gustafson and I. M. Sigal, The stability of magnetic vortices, Comm. Math. Phys. 212 (2000), no. 2, 257-275.
    • (2000) Comm. Math. Phys. , vol.212 , Issue.2 , pp. 257-275
    • Gustafson, S.1    Sigal, I.M.2
  • 7
    • 0001756686 scopus 로고
    • Symmetry of the Ginzburg-Landau minimizer in a disc
    • E. H. Lieb and M. Loss, Symmetry of the Ginzburg-Landau minimizer in a disc, Math. Res. Lett. 1 (1994), no. 6, 701-715.
    • (1994) Math. Res. Lett. , vol.1 , Issue.6 , pp. 701-715
    • Lieb, E.H.1    Loss, M.2
  • 8
    • 0001759725 scopus 로고
    • On the stability of radial solutions of the Ginzburg-Landau equation
    • P. Mironescu, On the stability of radial solutions of the Ginzburg-Landau equation, J. Funct. Anal. 130 (1995), no. 2, 334-344.
    • (1995) J. Funct. Anal. , vol.130 , Issue.2 , pp. 334-344
    • Mironescu, P.1
  • 9
    • 0001240515 scopus 로고    scopus 로고
    • Les minimiseurs locaux pour l'équation de Ginzburg-Landau sont à symétrie radiale
    • French
    • _, Les minimiseurs locaux pour l'équation de Ginzburg-Landau sont à symétrie radiale [Local minimizers for the Ginzburg-Landau equation are radially symmetric], C. R. Acad. Sci. Paris Sér. I Math. 323 (1996), no. 6, 593-598 (French).
    • (1996) C. R. Acad. Sci. Paris Sér. I Math. , vol.323 , Issue.6 , pp. 593-598
  • 10
    • 0002389471 scopus 로고    scopus 로고
    • Ginzburg-Landau equation. I. Static vortices
    • Partial Differential Equations and Their Applications (Toronto, ON, 1995), American Mathematical Society, Rhode Island
    • Y. N. Ovchinnikov and I. M. Sigal, Ginzburg-Landau equation. I. Static vortices, Partial Differential Equations and Their Applications (Toronto, ON, 1995), CRM Proc. Lecture Notes, vol. 12, American Mathematical Society, Rhode Island, 1997, pp. 199-220.
    • (1997) CRM Proc. Lecture Notes , vol.12 , pp. 199-220
    • Ovchinnikov, Y.N.1    Sigal, I.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.