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Volumn 134, Issue 1, 1997, Pages 1-25

Existence and bifurcation of solutions for an elliptic degenerate problem

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EID: 0031562002     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.3165     Document Type: Article
Times cited : (65)

References (27)
  • 2
    • 85030014881 scopus 로고
    • Remarques sur le nombre de solutions de certains problèmes elliptiques semi-linéaires
    • 2. H. Berestycki, Remarques sur le nombre de solutions de certains problèmes elliptiques semi-linéaires, Note C.R.A.S., Sér. A (1979).
    • (1979) Note C.R.A.S. , vol.A
    • Berestycki, H.1
  • 3
    • 0001808883 scopus 로고
    • Le nombre de solutions de certains problèmes semi-linéaires elliptiques
    • 3. H. Berestycki, Le nombre de solutions de certains problèmes semi-linéaires elliptiques, J. Funct. Anal. 40 (1981), 1-29.
    • (1981) J. Funct. Anal. , vol.40 , pp. 1-29
    • Berestycki, H.1
  • 4
  • 6
    • 0001550582 scopus 로고
    • Existence and bifurcation theorems for nonlinear elliptic eigenvalue problems on unbounded domains
    • 6. A. Bongers, H.-P. Heinz, and T. Küpper, Existence and bifurcation theorems for nonlinear elliptic eigenvalue problems on unbounded domains, J. Differential Equations 47 (1983), 327-357.
    • (1983) J. Differential Equations , vol.47 , pp. 327-357
    • Bongers, A.1    Heinz, H.-P.2    Küpper, T.3
  • 7
    • 0010952942 scopus 로고
    • Bifurcation from the spectrum towards regular values
    • 7. B. Buffoni and L. Jeanjean, Bifurcation from the spectrum towards regular values, J. Reine Angew. Math. 445 (1993), 1-29.
    • (1993) J. Reine Angew. Math. , vol.445 , pp. 1-29
    • Buffoni, B.1    Jeanjean, L.2
  • 8
    • 38249017570 scopus 로고
    • Multiple solutions for a class of nonlinear Sturm-Liouville problems on the half line
    • 8. C. N. Chen, Multiple solutions for a class of nonlinear Sturm-Liouville problems on the half line, J. Differential Equations 85 (1990), 236-275.
    • (1990) J. Differential Equations , vol.85 , pp. 236-275
    • Chen, C.N.1
  • 9
    • 0011022280 scopus 로고
    • Uniqueness and bifurcation for solutions of nonlinear Sturm-Liouville eigenvalue problems
    • 9. C. N. Chen, Uniqueness and bifurcation for solutions of nonlinear Sturm-Liouville eigenvalue problems. Arch. Rational Mech. Anal. (1) 111 (1990), 51-85.
    • (1990) Arch. Rational Mech. Anal. , vol.111 , Issue.1 , pp. 51-85
    • Chen, C.N.1
  • 10
    • 0011003625 scopus 로고
    • The simplified Wheeler-DeWitt equation: The Cauchy problem and some spectral properties
    • 10. J. P. Dias and M. Figueira, The simplified Wheeler-DeWitt equation: The Cauchy problem and some spectral properties, Ann. Inst. H. Poincaré, Phys. Théor. 54 (1991), 17-26.
    • (1991) Ann. Inst. H. Poincaré, Phys. Théor. , vol.54 , pp. 17-26
    • Dias, J.P.1    Figueira, M.2
  • 12
    • 0011004185 scopus 로고
    • What is a typical wave function for the universe?
    • 12. G. W. Gibbons and L. P. Grishchuk, What is a typical wave function for the universe? Nuclear Phys. B 13 (1989), 736-748.
    • (1989) Nuclear Phys. B , vol.13 , pp. 736-748
    • Gibbons, G.W.1    Grishchuk, L.P.2
  • 13
    • 84990563336 scopus 로고
    • Analysis of the linearization around a critical point of an infinite dimensional Hamiltonian system
    • 13. M. Grillakis, Analysis of the linearization around a critical point of an infinite dimensional Hamiltonian system, Comm. Pure Appl. Math. 43 (1990), 299-333.
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 299-333
    • Grillakis, M.1
  • 14
    • 33744514237 scopus 로고
    • Wave function of the universe
    • 14. J. B. Hartle and S. W. Hawking, Wave function of the universe, Phys. Rev. D 28 (1983), 2960-2975.
    • (1983) Phys. Rev. D , vol.28 , pp. 2960-2975
    • Hartle, J.B.1    Hawking, S.W.2
  • 15
    • 0001327974 scopus 로고
    • Free Ljusternik-Schnirelman theory and the bifurcation diagrams of certain singular nonlinear problems
    • 15. H.-P. Heinz, Free Ljusternik-Schnirelman theory and the bifurcation diagrams of certain singular nonlinear problems, J. Differential Equations 66 (1987), 263-300.
    • (1987) J. Differential Equations , vol.66 , pp. 263-300
    • Heinz, H.-P.1
  • 16
    • 38249038767 scopus 로고
    • Nodal properties and variational characterizations of solutions of nonlinear Sturm-Liouvile problems
    • 16. H.-P. Heinz, Nodal properties and variational characterizations of solutions of nonlinear Sturm-Liouvile problems, J. Differential Equations 62 (1986), 299-333.
    • (1986) J. Differential Equations , vol.62 , pp. 299-333
    • Heinz, H.-P.1
  • 17
    • 38249040387 scopus 로고
    • Nodal properties and bifurcation from the essential spectrum for a class of nonlinear Sturm-Liouville problems
    • 17. H.-P. Heinz, Nodal properties and bifurcation from the essential spectrum for a class of nonlinear Sturm-Liouville problems, J. Differential Equations 64 (1986), 79-108.
    • (1986) J. Differential Equations , vol.64 , pp. 79-108
    • Heinz, H.-P.1
  • 18
    • 0011047297 scopus 로고
    • Solvability of nonlinear equations in spectral gaps of the linearization
    • 18. H.-P. Heinz and C. A. Stuart, Solvability of nonlinear equations in spectral gaps of the linearization, Nonl. Anal. TMA 19 (1992), 145-165.
    • (1992) Nonl. Anal. TMA , vol.19 , pp. 145-165
    • Heinz, H.-P.1    Stuart, C.A.2
  • 19
    • 0011022543 scopus 로고
    • Characterization of bifurcation from the continuous spectrum by nodal properties
    • 20. C. Jones and T. Küpper, Characterization of bifurcation from the continuous spectrum by nodal properties, J. Differential Equations 54 (1984), 196-220.
    • (1984) J. Differential Equations , vol.54 , pp. 196-220
    • Jones, C.1    Küpper, T.2
  • 20
    • 0011029446 scopus 로고
    • Gap bifuration for nonlinear perturbations of Hill's equation
    • 21. T. Küpper and C. A. Stuart, Gap bifuration for nonlinear perturbations of Hill's equation, J. Reine Angew. Math. 410 (1990), 23-52.
    • (1990) J. Reine Angew. Math. , vol.410 , pp. 23-52
    • Küpper, T.1    Stuart, C.A.2
  • 21
    • 0010956697 scopus 로고
    • Necessary and sufficient conditions for gap bifurcation
    • 22. T. Küpper and C. A. Stuart, Necessary and sufficient conditions for gap bifurcation, Nonl. Anal. TMA 18 (1992), 893-903.
    • (1992) Nonl. Anal. TMA , vol.18 , pp. 893-903
    • Küpper, T.1    Stuart, C.A.2
  • 22
    • 84980196829 scopus 로고
    • Nonlinear Sturm-Liouville problems for second-order ordinary differential equations
    • 23. P. H. Rabinowitz, Nonlinear Sturm-Liouville problems for second-order ordinary differential equations, Comm. Pure Appl. Math. 23 (1970), 939-962.
    • (1970) Comm. Pure Appl. Math. , vol.23 , pp. 939-962
    • Rabinowitz, P.H.1
  • 23
    • 84879904964 scopus 로고
    • Some aspects of nonlinear eigenvalue problems
    • 24. P. H. Rabinowitz, Some aspects of nonlinear eigenvalue problems, Rocky Mountain J. Math. (2) 3 (1973), 161-202.
    • (1973) Rocky Mountain J. Math. , vol.3 , Issue.2 , pp. 161-202
    • Rabinowitz, P.H.1
  • 24
    • 0000341557 scopus 로고
    • Bifurcation for Dirichlet problems without eigenvalues
    • 25. C. A. Stuart, Bifurcation for Dirichlet problems without eigenvalues, Proc. London Math. Soc. 45 (1982), 169-192.
    • (1982) Proc. London Math. Soc. , vol.45 , pp. 169-192
    • Stuart, C.A.1
  • 25
    • 84974186648 scopus 로고
    • A global branch of solutions to a semilinear equation on an unbounded interval
    • 26. C. A. Stuart, A global branch of solutions to a semilinear equation on an unbounded interval, Proc. London Math. Soc. A 101 (1985), 273-282.
    • (1985) Proc. London Math. Soc. A , vol.101 , pp. 273-282
    • Stuart, C.A.1


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