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Volumn 4, Issue 2, 2004, Pages 149-164

A seven-positive-solutions theorem for a superlinear problem

Author keywords

Blow up solutions; Multiple positive solutions; Sign indefinite weight; Superlinear equations

Indexed keywords


EID: 3042803853     PISSN: 15361365     EISSN: None     Source Type: Journal    
DOI: 10.1515/ans-2004-0202     Document Type: Article
Times cited : (34)

References (16)
  • 1
    • 0001451359 scopus 로고    scopus 로고
    • Semilinear elliptic equations with sublinear indefinite nonlinearities
    • S. Alama, Semilinear elliptic equations with sublinear indefinite nonlinearities, Adv. Differential Equations 4 (1999), 813-842.
    • (1999) Adv. Differential Equations , vol.4 , pp. 813-842
    • Alama, S.1
  • 2
    • 0030579036 scopus 로고    scopus 로고
    • Elliptic problems with nonlinearities indefinite in sign
    • S. Alama and G. Tarantello, Elliptic problems with nonlinearities indefinite in sign, J. Functional Analysis 141 (1996), 159-215.
    • (1996) J. Functional Analysis , vol.141 , pp. 159-215
    • Alama, S.1    Tarantello, G.2
  • 3
    • 0001030383 scopus 로고    scopus 로고
    • A priori bounds and multiple solutions for superlinear indefinite elliptic problems
    • H. Amann and J. López-Gómez, A priori bounds and multiple solutions for superlinear indefinite elliptic problems, J. Differential Equations 146 (1998), 336-374.
    • (1998) J. Differential Equations , vol.146 , pp. 336-374
    • Amann, H.1    López-Gómez, J.2
  • 4
    • 0001495351 scopus 로고
    • The asymptotic behavior of the solutions of degenerate parabolic equations
    • C. Bandle, M.A. Pozio and A. Tesei, The asymptotic behavior of the solutions of degenerate parabolic equations, Trans. Amer. Math. Soc. 303 (1987), 487-501.
    • (1987) Trans. Amer. Math. Soc. , vol.303 , pp. 487-501
    • Bandle, C.1    Pozio, M.A.2    Tesei, A.3
  • 5
    • 34249759058 scopus 로고
    • Variational methods for indefinite superlinear homogeneous elliptic problems
    • H. Berestycki, I. Capuzzo Dolcetta and L. Nirenberg, Variational methods for indefinite superlinear homogeneous elliptic problems, NoDEA 2 (1995), 553-572.
    • (1995) NoDEA , vol.2 , pp. 553-572
    • Berestycki, H.1    Capuzzo Dolcetta, I.2    Nirenberg, L.3
  • 6
    • 0000385340 scopus 로고
    • Rapid oscillation, nonextendability, and the existence of periodic solutions to second order nonlinear differential equations
    • G.J. Butler, Rapid oscillation, nonextendability, and the existence of periodic solutions to second order nonlinear differential equations, J. Differential Equations 22 (1976), 467-477.
    • (1976) J. Differential Equations , vol.22 , pp. 467-477
    • Butler, G.J.1
  • 7
    • 0041886047 scopus 로고
    • Periodic solutions of sublinear second order differential equations
    • G.J. Butler, Periodic solutions of sublinear second order differential equations, J. Math. Anal. Appl. 63 (1978), 676-690.
    • (1978) J. Math. Anal. Appl. , vol.63
    • Butler, G.J.1
  • 8
    • 0001873738 scopus 로고
    • Upper and lower solutions in the theory of ODE boundary value problems: Classical and recent results
    • F. Zanolin, Ed., Springer-Verlag, C.I.S.M. Courses and Lectures, New York
    • C. De Coster and P. Habets, Upper and lower solutions in the theory of ODE boundary value problems: classical and recent results. In: Nonlinear analysis and boundary value problems for ordinary differential equations (F. Zanolin, Ed.), Springer-Verlag, C.I.S.M. Courses and Lectures Vol. 371, New York 1993, 1-79.
    • (1993) Nonlinear Analysis and Boundary Value Problems for Ordinary Differential Equations , vol.371 , pp. 1-79
    • De Coster, C.1    Habets, P.2
  • 9
    • 70350221977 scopus 로고    scopus 로고
    • The lower and upper solutions method for boundary value problems
    • A. Canada, P. Drabek and A. Fonda, Ed., Elsevier, Amsterdam, to appear
    • C. De Coster and P. Habets, The lower and upper solutions method for boundary value problems. In: Handbook of Differential Equations, Ordinary Differential Equations (A. Canada, P. Drabek and A. Fonda, Ed.), Elsevier, Amsterdam 2004, (to appear).
    • (2004) Handbook of Differential Equations, Ordinary Differential Equations
    • De Coster, C.1    Habets, P.2
  • 10
    • 0000908135 scopus 로고    scopus 로고
    • Existence and localization of solution for second order elliptic BVP in presence of lower and upper solutions without any order
    • C. De Coster and M. Henrard, Existence and localization of solution for second order elliptic BVP in presence of lower and upper solutions without any order, J. Differential Equations 145 (1998), 420-452.
    • (1998) J. Differential Equations , vol.145 , pp. 420-452
    • De Coster, C.1    Henrard, M.2
  • 11
    • 0347297463 scopus 로고    scopus 로고
    • Positive solutions of singular boundary value problems with indefinite weight
    • M. Gaudenzi, P. Habets and F. Zanolin, Positive solutions of singular boundary value problems with indefinite weight, Bull. Belgian Math. Soc. Simon Stevin 9 (2002), 607-619.
    • (2002) Bull. Belgian Math. Soc. Simon Stevin , vol.9 , pp. 607-619
    • Gaudenzi, M.1    Habets, P.2    Zanolin, F.3
  • 12
    • 3042765754 scopus 로고    scopus 로고
    • Positive solutions of superlinear boundary value problems with singular indefinite weight
    • M. Gaudenzi, P. Habets and F. Zanolin, Positive solutions of superlinear boundary value problems with singular indefinite weight, Comm. Pure Applied Analysis 2 (2003), 411-423.
    • (2003) Comm. Pure Applied Analysis , vol.2 , pp. 411-423
    • Gaudenzi, M.1    Habets, P.2    Zanolin, F.3
  • 13
    • 3042803301 scopus 로고    scopus 로고
    • An example of a superlinear problem with multiple positive solutions
    • M. Gaudenzi, P. Habets and F. Zanolin, An example of a superlinear problem with multiple positive solutions, Atti Sem. Mat. Fis. Univ. Modena 51 (2003), 259-272.
    • (2003) Atti Sem. Mat. Fis. Univ. Modena , vol.51 , pp. 259-272
    • Gaudenzi, M.1    Habets, P.2    Zanolin, F.3
  • 14
    • 23044519744 scopus 로고    scopus 로고
    • Varying bifurcation diagrams of positive solutions for a class of indefinite superlinear boundary value problems
    • J. López-Gómez, Varying bifurcation diagrams of positive solutions for a class of indefinite superlinear boundary value problems, Trans. Amer. Math. Soc. 352 (2000), 1825-1858.
    • (2000) Trans. Amer. Math. Soc. , vol.352 , pp. 1825-1858
    • López-Gómez, J.1
  • 15
    • 0000422322 scopus 로고    scopus 로고
    • A topological approach to superlinear indefinite boundary value problems
    • D. Papini and F. Zanolin, A topological approach to superlinear indefinite boundary value problems, Topological Methods Nonlinear Analysis 15 (2000), 203-233.
    • (2000) Topological Methods Nonlinear Analysis , vol.15 , pp. 203-233
    • Papini, D.1    Zanolin, F.2
  • 16
    • 0034258413 scopus 로고    scopus 로고
    • Oscillating solutions to second order ODE's with indefinite superlinear nonlinearities
    • S. Terracini and G. Verzini, Oscillating solutions to second order ODE's with indefinite superlinear nonlinearities, Nonlinearity 13 (2000), 1501-1514.
    • (2000) Nonlinearity , vol.13 , pp. 1501-1514
    • Terracini, S.1    Verzini, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.