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Volumn 26, Issue 6, 1996, Pages 1143-1160

Existence of stable and unstable solutions for semilinear parabolic problems with a jumping nonlinearity

Author keywords

Jumping nonlinearity; Multiple existence; Semilinear parabolic problem; Stable and unstable solution

Indexed keywords


EID: 0042376684     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(94)00284-O     Document Type: Article
Times cited : (6)

References (17)
  • 1
    • 84972091514 scopus 로고
    • A multiplicity result for a class of elliptic value problems
    • AMANN H. & HESS P., A multiplicity result for a class of elliptic value problems, Proc. R. Soc. Edinb. A84, 145-151 (1979).
    • (1979) Proc. R. Soc. Edinb. , vol.A84 , pp. 145-151
    • Amann, H.1    Hess, P.2
  • 2
    • 45249128146 scopus 로고
    • On nontrivial solutions of a Dirichlet problem whose jumping nonlinearity crosses a multiple eigenvalue
    • CAC N. K., On nontrivial solutions of a Dirichlet problem whose jumping nonlinearity crosses a multiple eigenvalue, J. diff. Eqns 80, 379-404 (1989).
    • (1989) J. Diff. Eqns , vol.80 , pp. 379-404
    • Cac, N.K.1
  • 3
    • 0001188543 scopus 로고
    • On the solutions of nonlinear Dirichlet problem
    • BERGER M. S. & PODOLAK J. K., On the solutions of nonlinear Dirichlet problem, Indiana J. Math. 24, 837-846 (1975).
    • (1975) Indiana J. Math. , vol.24 , pp. 837-846
    • Berger, M.S.1    Podolak, J.K.2
  • 4
    • 0022045609 scopus 로고
    • Multiplicity results for a semilinear boundary value problem with the nonlinearity crossing higher eigenvalues
    • LAZER A. C. & MAKENNA P. J., Multiplicity results for a semilinear boundary value problem with the nonlinearity crossing higher eigenvalues, Nonlinear Analysis 9, 335-350 (1985).
    • (1985) Nonlinear Analysis , vol.9 , pp. 335-350
    • Lazer, A.C.1    Makenna, P.J.2
  • 5
    • 0000302191 scopus 로고
    • Solutions of operator equations and Morse indices of critical points of min-max type
    • LAZER A. C. & MAKENNA P. J., solutions of operator equations and Morse indices of critical points of min-max type, Nonlinear Analysis 12, 761-775 (1988).
    • (1988) Nonlinear Analysis , vol.12 , pp. 761-775
    • Lazer, A.C.1    Makenna, P.J.2
  • 7
    • 0000318059 scopus 로고
    • Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, periodic problems
    • OTANI M., Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, periodic problems, J. diff. Eqns 248-273 (1984).
    • (1984) J. Diff. Eqns , pp. 248-273
    • Otani, M.1
  • 8
    • 85030016444 scopus 로고    scopus 로고
    • On the multiplicity of periodic solutions for semilinear parabolic equations
    • to appear
    • HIRANO N., On the multiplicity of periodic solutions for semilinear parabolic equations, Proc. First Congress of Nonlinear Analysis (to appear).
    • Proc. First Congress of Nonlinear Analysis
    • Hirano, N.1
  • 9
    • 0001285470 scopus 로고
    • On the principlal eigenvalue of a periodic parabolic operator
    • BELTORANO A. & HESS P., On the principlal eigenvalue of a periodic parabolic operator, Communs partial diff. Eqns 9, 919-941 (1984).
    • (1984) Communs Partial Diff. Eqns , vol.9 , pp. 919-941
    • Beltorano, A.1    Hess, P.2
  • 11
    • 0003189552 scopus 로고
    • On positive solutions of semilinear periodic- Parabolic problems
    • Infinite-dimensional systems, ed. Kappel-Schappacher
    • HESS P., On positive solutions of semilinear periodic- parabolic problems, in Infinite-dimensional systems, ed. Kappel-Schappacher, Lecture Notes in Math. 1076, 101-114 (1984).
    • (1984) Lecture Notes in Math. , vol.1076 , pp. 101-114
    • Hess, P.1
  • 12
    • 0042171088 scopus 로고
    • Differential equations and convergence almost everywhere in strongly monotone semiflows
    • HIRSCH M. W., Differential equations and convergence almost everywhere in strongly monotone semiflows, Contemp. Math. 17, 267-285 (1983).
    • (1983) Contemp. Math. , vol.17 , pp. 267-285
    • Hirsch, M.W.1
  • 13
    • 0001458211 scopus 로고
    • Discrete order preserving semigroups and stability for periodic parabolic differential equations
    • ALIKAKOS N. D., HESS P. & MATANO H., Discrete order preserving semigroups and stability for periodic parabolic differential equations, J. diff. Eqns 82, 322-341 (1989).
    • (1989) J. Diff. Eqns , vol.82 , pp. 322-341
    • Alikakos, N.D.1    Hess, P.2    Matano, H.3
  • 16
    • 0003304963 scopus 로고
    • Geometric theory of Semilinear Parabolic Equations
    • Springer-Verlag, New York
    • HENRY D., Geometric theory of Semilinear Parabolic Equations, Lecture Notes in Math., p. 840. Springer-Verlag, New York (1981).
    • (1981) Lecture Notes in Math. , pp. 840
    • Henry, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.