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Volumn 44, Issue 4, 2001, Pages 469-486

Exact multiplicity theorem involving concave-convex nonlinearities and its application to stationary solutions of a singular diffusion problem

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; EIGENVALUES AND EIGENFUNCTIONS; POLYNOMIALS; THEOREM PROVING;

EID: 0035313750     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00272-2     Document Type: Article
Times cited : (14)

References (15)
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  • 2
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    • Nonnegative solutions for a class of non-positone problems
    • Castro A., Shivaji R. Nonnegative solutions for a class of non-positone problems. Proc. Roy. Soc. Edinburgh. 108A:1988;291-302.
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  • 3
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    • Bifurcation, perturbation of simple eigenvalues and linearized stability
    • Crandall M.G., Ranibowitz P.H. 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    Ranibowitz, P.H.2
  • 4
    • 38249013778 scopus 로고
    • Quenching for solutions of a plasma type equation
    • Deng K. Quenching for solutions of a plasma type equation. Nonlinear Analysis TMA. 18:1992;731-742.
    • (1992) Nonlinear Analysis TMA , vol.18 , pp. 731-742
    • Deng, K.1
  • 5
    • 38249015536 scopus 로고
    • The critical length for a quenching problem
    • Guo J.-S. The critical length for a quenching problem. Nonlinear Anal. TMA. 18:1992;507-516.
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    • Guo, J.-S.1
  • 6
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    • Exact multiplicity results for boundary value problems with nonlinearities generalising cubic
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    • (1996) Proc. Roy. Soc. Edinburgh , vol.126 , pp. 599-616
    • Korman, P.1    Li, Y.2    Ouyang, T.3
  • 7
    • 84972541677 scopus 로고
    • Exact multiplicity results for two classes of boundary value problems
    • Korman P., Ouyang T. Exact multiplicity results for two classes of boundary value problems. Differential Integral Equations. 6:1993;1507-1517.
    • (1993) Differential Integral Equations , vol.6 , pp. 1507-1517
    • Korman, P.1    Ouyang, T.2
  • 8
    • 0009397249 scopus 로고
    • The number of solutions of a nonlinear two point boundary value problem
    • Laetsch T. The number of solutions of a nonlinear two point boundary value problem. Indiana Univ. Math. J. 20:1970;1-13.
    • (1970) Indiana Univ. Math. J , vol.20 , pp. 1-13
    • Laetsch, T.1
  • 9
    • 0000576069 scopus 로고
    • Quenching, nonquenching, and beyond quenching for solutions of some parabolic equations
    • Levine H.A. Quenching, nonquenching, and beyond quenching for solutions of some parabolic equations. Ann. Mat. Pura Appl. 155:1989;243-260.
    • (1989) Ann. Mat. Pura Appl. , vol.155 , pp. 243-260
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  • 12
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    • p=0 on compact manifolds. Part II
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  • 13
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    • Bifurcation of steady-state solutioons of a scalar reaction-diffusion equation in one space variable
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    • Wang, S.-H.1


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