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Volumn 169, Issue 2, 1999, Pages 494-531

Persistence and Bifurcation of Degenerate Solutions

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EID: 0000103723     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1999.3483     Document Type: Article
Times cited : (144)

References (20)
  • 3
    • 0346502423 scopus 로고    scopus 로고
    • Global structure for nonlinear operators in differential and integral equations. I. Folds; II. Cusps: Topological nonlinear analysis
    • Birkhaüser, Boston
    • P. T. Church and J. G. Timourian, Global structure for nonlinear operators in differential and integral equations. I. Folds; II. Cusps: Topological nonlinear analysis, in "Progr. Nonlinear Differential Equations Appl.," Vol. 27, pp. 109-160, 161-245, Birkhaüser, Boston, 1997.
    • (1997) Progr. Nonlinear Differential Equations Appl. , vol.27 , pp. 109-160
    • Church, P.T.1    Timourian, J.G.2
  • 4
    • 0001056317 scopus 로고
    • Bifurcation from simple eigenvalues
    • M. G. Crandall and P. H. Rabinowitz, Bifurcation from simple eigenvalues, J. Funct. Anal. 8 (1971), 321-340.
    • (1971) J. Funct. Anal. , vol.8 , pp. 321-340
    • Crandall, M.G.1    Rabinowitz, P.H.2
  • 5
    • 0015746829 scopus 로고
    • Bifurcation, perturbation of simple eigenvalues and linearized stability
    • M. G. Crandall and P. H. Rabinowitz, Bifurcation, perturbation of simple eigenvalues and linearized stability, Arch. Rational Mech. Anal. 52 (1973), 161-180.
    • (1973) Arch. Rational Mech. Anal. , vol.52 , pp. 161-180
    • Crandall, M.G.1    Rabinowitz, P.H.2
  • 6
    • 0001069004 scopus 로고
    • On the structure of solutions of an equation in catalysis theory when a parameter is large
    • E. N. Dancer, On the structure of solutions of an equation in catalysis theory when a parameter is large, J. Differential Equations 37, No. 3 (1980), 404-437.
    • (1980) J. Differential Equations , vol.37 , Issue.3 , pp. 404-437
    • Dancer, E.N.1
  • 8
    • 0001674774 scopus 로고    scopus 로고
    • S-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model
    • Yihong Du and Yuan Lou, S-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model, J. Differential Equations 144, No. 2 (1998), 390-440.
    • (1998) J. Differential Equations , vol.144 , Issue.2 , pp. 390-440
    • Du, Y.1    Lou, Y.2
  • 10
    • 0001898703 scopus 로고
    • The number of solutions to an equation from catalysis
    • S. P. Hastings and J. B. McLeod, The number of solutions to an equation from catalysis, Proc. Roy. Soc. Edinburgh Sect. A 101, Nos. 1-2 (1985), 15-30.
    • (1985) Proc. Roy. Soc. Edinburgh Sect. A , vol.101 , Issue.1-2 , pp. 15-30
    • Hastings, S.P.1    McLeod, J.B.2
  • 11
    • 22644451474 scopus 로고    scopus 로고
    • On the exactness of an S-shaped bifurcation curve
    • P. Korman and Yi Li, On the exactness of an S-shaped bifurcation curve, Proc. Amer. Math. Soc. 127, No. 4 (1999), 1011-1020.
    • (1999) Proc. Amer. Math. Soc. , vol.127 , Issue.4 , pp. 1011-1020
    • Korman, P.1    Li, Y.2
  • 13
    • 0001751654 scopus 로고
    • On the existence of positive solutions of semilinear elliptic equations
    • P.-L. Lions, On the existence of positive solutions of semilinear elliptic equations, SIAM Rev. 24, No. 4 (1982), 441-467.
    • (1982) SIAM Rev. , vol.24 , Issue.4 , pp. 441-467
    • Lions, P.-L.1
  • 14
    • 0001602653 scopus 로고    scopus 로고
    • Exact multiplicity of positive solutions for a class of semilinear problem
    • Tiancheng Ouyang and Junping Shi, Exact multiplicity of positive solutions for a class of semilinear problem, J. Differential Equations 146, No. 1 (1998), 121-156.
    • (1998) J. Differential Equations , vol.146 , Issue.1 , pp. 121-156
    • Ouyang, T.1    Shi, J.2
  • 15
    • 0002608722 scopus 로고    scopus 로고
    • Exact multiplicity of positive solutions for a class of semilinear problem, II
    • Tiancheng Ouyang and Junping Shi, Exact multiplicity of positive solutions for a class of semilinear problem, II, J. Differential Equations 158, No. 1 (1999), 94-151.
    • (1999) J. Differential Equations , vol.158 , Issue.1 , pp. 94-151
    • Ouyang, T.1    Shi, J.2
  • 16
    • 0347763045 scopus 로고    scopus 로고
    • Ph.D. Dissertation, Brigham Young University
    • Junping Shi, Ph.D. Dissertation, Brigham Young University, 1998.
    • (1998)
    • Shi, J.1
  • 17
    • 0000093987 scopus 로고
    • Global bifurcation of steady-state solutions
    • J. Smoller and A. Wasserman, Global bifurcation of steady-state solutions, J. Differential Equations 39, No. 2 (1981), 269-290.
    • (1981) J. Differential Equations , vol.39 , Issue.2 , pp. 269-290
    • Smoller, J.1    Wasserman, A.2
  • 18
    • 38149148074 scopus 로고
    • On S-shaped bifurcation curves
    • Shin Hwa Wang, On S-shaped bifurcation curves, Nonlinear Anal. 22, No. 12 (1994), 1475-1485.
    • (1994) Nonlinear Anal. , vol.22 , Issue.12 , pp. 1475-1485
    • Wang, S.H.1
  • 19
    • 0007325007 scopus 로고
    • Bifurcation of an equation from catalysis theory
    • Shin Hwa Wang and Fu Ping Lee, Bifurcation of an equation from catalysis theory, Nonlinear Anal. 23, No. 9 (1994), 1167-1187.
    • (1994) Nonlinear Anal. , vol.23 , Issue.9 , pp. 1167-1187
    • Wang, S.H.1    Lee, F.P.2
  • 20
    • 0345871590 scopus 로고
    • Functional Analysis, 5th ed.
    • Springer-Verlag, Berlin/New York
    • Kosaku Yosida, "Functional Analysis," 5th ed., Grundlehren der Mathematischen Wissenschaften, Vol. 123, Springer-Verlag, Berlin/New York, 1978.
    • (1978) Grundlehren der Mathematischen Wissenschaften , vol.123
    • Yosida, K.1


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