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Volumn 6, Issue 3, 2001, Pages 303-326

Existence and nonexistence results for a class of nonlinear, singular Sturm-Liouville equations

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EID: 3042593883     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (10)

References (22)
  • 1
    • 84971895317 scopus 로고
    • On second-order differential inequalities
    • F.V. Atkinson, On second-order differential inequalities, Proc. Roy. Soc. Edinburgh Sect. A 72 (1972/73), 109-127.
    • (1972) Proc. Roy. Soc. Edinburgh Sect. , vol.A72 , pp. 109-127
    • Atkinson, F.V.1
  • 2
    • 0347565270 scopus 로고    scopus 로고
    • Some simple nonlinear PDE's without solutions
    • H. Brezis and X. Cabré, Some simple nonlinear PDE's without solutions, Boll. Un. Mat. Ital. (8) 1-B (1998), 223-262.
    • (1998) Boll. Un. Mat. Ital , vol.1 B , Issue.8 , pp. 223-262
    • Brezis, H.1    Cabré, X.2
  • 4
    • 0031562002 scopus 로고    scopus 로고
    • Existence and bifurcation of solutions for an elliptic degenerate problem
    • H. Berestycki and M.J. Esteban, Existence and bifurcation of solutions for an elliptic degenerate problem, J. Diff. Eq. 134 (1997),1-25.
    • (1997) J. Diff. Eq. , vol.134 , pp. 1-25
    • Berestycki, H.1    Esteban, M.J.2
  • 5
    • 0000927436 scopus 로고
    • First order interpolation inequalities with weight
    • L. Caffarelli, R. Kohn, and L. Nirenberg, First order interpolation inequalities with weight, Compositio Math. 53 (1984), 259-275.
    • (1984) Compositio Math. , vol.53 , pp. 259-275
    • Caffarelli, L.1    Kohn, R.2    Nirenberg, L.3
  • 6
    • 0348246759 scopus 로고    scopus 로고
    • On a variational degenerate elliptic problem
    • P. Caldiroli and R. Musina, On a variational degenerate elliptic problem, Nonlinear Diff. Eq. Appl., 7 (2000), 187-199.
    • (2000) Nonlinear Diff. Eq. Appl. , vol.7 , pp. 187-199
    • Caldiroli, P.1    Musina, R.2
  • 7
    • 0000681549 scopus 로고    scopus 로고
    • On the existence of extremal functions for a weighted Sobolev embedding with critical exponent
    • P. Caldiroli and R. Musina, On the existence of extremal functions for a weighted Sobolev embedding with critical exponent, Calc. Var. 8 (1999), 365-387.
    • (1999) Calc. Var. , vol.8 , pp. 365-387
    • Caldiroli, P.1    Musina, R.2
  • 9
    • 0002371955 scopus 로고    scopus 로고
    • Nonexistence of positive solutions of quasilinear equations
    • G. Caristi and E. Mitidieri, Nonexistence of positive solutions of quasilinear equations, Adv. Diff. Eq. 2 (1997), 319-359.
    • (1997) Adv. Diff. Eq. , vol.2 , pp. 319-359
    • Caristi, G.1    Mitidieri, E.2
  • 10
    • 0011022280 scopus 로고
    • Uniqueness and bifurcation for solutions of nonlinear Sturm-Liouville eigenvalue problems
    • C.N. Chen, Uniqueness and bifurcation for solutions of nonlinear Sturm-Liouville eigenvalue problems, Arch. Rat. Mech. Anal. 111 (1990), 51-85.
    • (1990) Arch. Rat. Mech. Anal. , vol.111 , pp. 51-85
    • Chen, C.N.1
  • 11
    • 0000108980 scopus 로고
    • On pairs of positive solutions for a singular boundary value problem
    • C. De Coster, M.R. Grossinho, and P. Habets, On pairs of positive solutions for a singular boundary value problem, Applicable Anal. 59 (1995), 241-256.
    • (1995) Applicable Anal. , vol.59 , pp. 241-256
    • De Coster, C.1    Grossinho, M.R.2    Habets, P.3
  • 12
    • 43949157471 scopus 로고
    • Density,spectral theory and homoclinics for singular Sturm-Liouville systems
    • C. De Coster and M. Willem, Density, spectral theory and homoclinics for singular Sturm-Liouville systems, J. Comp. Appl. Math. 52 (1994), 45-70.
    • (1994) J. Comp. Appl. Math. , vol.52 , pp. 45-70
    • De Coster, C.1    Willem, M.2
  • 14
    • 22044442792 scopus 로고    scopus 로고
    • Maximum and anti-maximum principles for singular Sturm-Liouville problems
    • M. Duhoux, Maximum and anti-maximum principles for singular Sturm-Liouville problems, Proc. Roy. Soc. Edinburgh Sect. A 128 (1998), 525-547.
    • (1998) Proc. Roy. Soc. Edinburgh Sect. A , vol.128 , pp. 525-547
    • Duhoux, M.1
  • 15
    • 0033285898 scopus 로고    scopus 로고
    • Nonlinear singular Sturm-Liouville problems
    • M. Duhoux, Nonlinear singular Sturm-Liouville problems, Nonlinear Anal. 38 (1999), 897-918.
    • (1999) Nonlinear Anal. , vol.38 , pp. 897-918
    • Duhoux, M.1
  • 16
    • 0022711640 scopus 로고
    • Existence of solutions for some nonlinear singular boundary value problems
    • D.R. Dunninger and J.C. Kurtz, Existence of solutions for some nonlinear singular boundary value problems, J. Math. Anal. Appl. 115 (1986), 396-405.
    • (1986) J. Math. Anal. Appl. , vol.115 , pp. 396-405
    • Dunninger, D.R.1    Kurtz, J.C.2
  • 17
    • 0001655801 scopus 로고
    • Positive solutions for a class of singular boundary value problems
    • P. Habets and F. Zanolin, Positive solutions for a class of singular boundary value problems, Boll. Un. Mat. Ital. (7) 9 (1995), 273-286.
    • (1995) Boll. Un. Mat. Ital. , vol.9 , Issue.7 , pp. 273-286
    • Habets, P.1    Zanolin, F.2
  • 18
    • 0001439445 scopus 로고
    • On a singular elliptic equation
    • W.-M. Ni, On a singular elliptic equation, Proc. Amer. Math. Soc. 88 (1983), 614- 616.
    • (1983) Proc. Amer. Math. Soc. , vol.88
    • Ni, W.-M.1
  • 19
    • 0001901435 scopus 로고
    • Minimax methods in critical point theory with applications to differential equations,
    • P.H. Rabinowitz, Minimax methods in critical point theory with applications to differential equations, CBMS Regional Conference Series in Mathematics, No. 65 (1986).
    • (1986) CBMS Regional Conference Series in Mathematics , vol.65
    • Rabinowitz, P.H.1
  • 20
    • 0001216344 scopus 로고
    • Hardy inequalities with mixed norms
    • J. Scott Bradley, Hardy inequalities with mixed norms, Canad. Math. Bull. 21 (1978), 405-408.
    • (1978) Canad. Math. Bull. , vol.21 , pp. 405-408
    • Scott Bradley, J.1
  • 21
    • 84972557504 scopus 로고
    • A note on second order differential inequalities and functional differential equations
    • H. Teufel, A note on second order differential inequalities and functional differential equations, Pacific J. Math. 41 (1972), 537-541.
    • (1972) Pacific J. Math. , vol.41 , pp. 537-541
    • Teufel, H.1
  • 22
    • 0016495927 scopus 로고
    • On the generalized Emden-Fowler equation
    • J.S.W. Wong, On the generalized Emden-Fowler equation, SIAM Rev. 17 (1975), 339-360.
    • (1975) SIAM Rev , vol.17 , pp. 339-360
    • Wong, J.S.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.