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Volumn 32, Issue 2, 1998, Pages 167-181

The structure of Rabinowitz' global bifurcating continua for generic quasilinear elliptic equations

Author keywords

Genericity; Global bifurcating continua; Quasilinear elliptic equations

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY VALUE PROBLEMS; FUNCTIONS; LINEARIZATION; LYAPUNOV METHODS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

EID: 0032043542     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00471-9     Document Type: Article
Times cited : (13)

References (12)
  • 1
    • 36448974335 scopus 로고
    • Some global results for nonlinear eigenvalue problems
    • Rabinowitz, P. H., Some global results for nonlinear eigenvalue problems. J. Funct. Analysis, 1971, 7, 487-513.
    • (1971) J. Funct. Analysis , vol.7 , pp. 487-513
    • Rabinowitz, P.H.1
  • 2
    • 0001135810 scopus 로고
    • Symmetry and nodal properties in the global bifurcation analysis of quasi-linear elliptic equations
    • Healey, T. J. and Kielhöfer, H., Symmetry and nodal properties in the global bifurcation analysis of quasi-linear elliptic equations. Arch. Rat. Mech. Anal., 1991, 113, 299-311.
    • (1991) Arch. Rat. Mech. Anal. , vol.113 , pp. 299-311
    • Healey, T.J.1    Kielhöfer, H.2
  • 3
    • 0002092768 scopus 로고
    • Preservation of nodal structure on global bifurcating solution branches of elliptic equations with symmetry
    • Healey, T. J. and Kielhöfer, H., Preservation of nodal structure on global bifurcating solution branches of elliptic equations with symmetry. J. Diff. Eqns, 1993, 106, 70-89.
    • (1993) J. Diff. Eqns , vol.106 , pp. 70-89
    • Healey, T.J.1    Kielhöfer, H.2
  • 4
    • 0012101205 scopus 로고
    • Bifurcation from higher eigenvalues in nonlinear elliptic equations: Continua that meet infinity
    • Cosner, C., Bifurcation from higher eigenvalues in nonlinear elliptic equations: continua that meet infinity. Nonlinear Analysis, 1988, 12, 271-277.
    • (1988) Nonlinear Analysis , vol.12 , pp. 271-277
    • Cosner, C.1
  • 5
    • 0000381183 scopus 로고
    • Generic properties of nonlinear boundary value problems
    • Saut, J. C. and Temam, R., Generic properties of nonlinear boundary value problems. Comm. in PDE, 1979, 4, 293-319.
    • (1979) Comm. in PDE , vol.4 , pp. 293-319
    • Saut, J.C.1    Temam, R.2
  • 6
    • 0042478296 scopus 로고
    • Generic properties of equilibrium solutions by perturbation of the boundary
    • ed. S-N. Chow and J. K. Hale. Springer
    • Henry, D. B., Generic properties of equilibrium solutions by perturbation of the boundary. In Dynamics of Infinite Dimensional Systems, ed. S-N. Chow and J. K. Hale. Springer, 1987.
    • (1987) Dynamics of Infinite Dimensional Systems
    • Henry, D.B.1
  • 7
    • 0001489944 scopus 로고
    • Generic properties of eigenfunctions
    • Uhlenbeck, K., Generic properties of eigenfunctions. Am. J. Math., 1976, 98, 1059-1078.
    • (1976) Am. J. Math. , vol.98 , pp. 1059-1078
    • Uhlenbeck, K.1
  • 8
    • 0040663112 scopus 로고
    • Smoothness and asymptotics of global positive branches of Δu + λf(u) = 0
    • Kielhöfer, H., Smoothness and asymptotics of global positive branches of Δu + λf(u) = 0. Z. Angew Math. Phys., 1992, 43, 139-153.
    • (1992) Z. Angew Math. Phys. , vol.43 , pp. 139-153
    • Kielhöfer, H.1
  • 10
    • 0001056317 scopus 로고
    • Bifurcation from simple eigenvalues
    • Crandall, M. G. and Rabinowitz, P. H., Bifurcation from simple eigenvalues. J. Funct. Anal., 1971, 8, 321-340.
    • (1971) J. Funct. Anal. , vol.8 , pp. 321-340
    • Crandall, M.G.1    Rabinowitz, P.H.2
  • 11
    • 0013526248 scopus 로고
    • A generalization of multiplicity and the problem of bifurcation
    • Magnus, R. J., A generalization of multiplicity and the problem of bifurcation. Proc. Lond. Math. Soc., 1976, 32, 251-278.
    • (1976) Proc. Lond. Math. Soc. , vol.32 , pp. 251-278
    • Magnus, R.J.1
  • 12
    • 0002575533 scopus 로고
    • Counterexamples to some conjectures on the number of solutions of nonlinear equations
    • Dancer, E. N., Counterexamples to some conjectures on the number of solutions of nonlinear equations. Math. Ann., 1985, 272, 421-440.
    • (1985) Math. Ann. , vol.272 , pp. 421-440
    • Dancer, E.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.