메뉴 건너뛰기




Volumn 39, Issue 1, 2009, Pages 325-342

Multiple positive solutions for a second order sturm-liouville boundary value problem with a p-laplacian via variational methods

Author keywords

Mountain pass theorem; Sturm Liouville boundary value problem; Variational methods

Indexed keywords


EID: 64849087231     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/RMJ-2009-39-1-325     Document Type: Article
Times cited : (15)

References (20)
  • 1
    • 0032066967 scopus 로고    scopus 로고
    • The existence of positive solutions for the Sturm-Liouville boundary value problems
    • R.P. Agarwal, Huei-Lin Hong and Cheh-Chih Yeh, The existence of positive solutions for the Sturm-Liouville boundary value problems, Comp. Math. Appl. 35 (1998), 89-96.
    • (1998) Comp. Math. Appl , vol.35 , pp. 89-96
    • Agarwal, R.P.1    Hong, H.-L.2    Yeh, C.-C.3
  • 2
    • 0036501601 scopus 로고    scopus 로고
    • Multiple solutions and eigenvalues for third-order right focal boundary value problems
    • D.R. Anderson and J.M. Davis, Multiple solutions and eigenvalues for third-order right focal boundary value problems, J. Math. Anal. Appl. 267 (2002), 135-157.
    • (2002) J. Math. Anal. Appl , vol.267 , pp. 135-157
    • Anderson, D.R.1    Davis, J.M.2
  • 3
    • 21344469416 scopus 로고    scopus 로고
    • Existence results for superlinear semi-positive BVPs
    • V. Anuradha, D.D. Hai and R. Shivaji, Existence results for superlinear semi-positive BVPs, Proc. Amer. Math. Soc. 124 (1996), 757-763.
    • (1996) Proc. Amer. Math. Soc , vol.124 , pp. 757-763
    • Anuradha, V.1    Hai, D.D.2    Shivaji, R.3
  • 4
    • 3142740648 scopus 로고    scopus 로고
    • A three critical points theorem and its applications to the ordinary Dirichlet problem
    • D. Averna and G. Bonanno, A three critical points theorem and its applications to the ordinary Dirichlet problem, Topol. Methods Nonlinear Anal. 22 (2003), 93-104.
    • (2003) Topol. Methods Nonlinear Anal , vol.22 , pp. 93-104
    • Averna, D.1    Bonanno, G.2
  • 5
    • 3142749840 scopus 로고    scopus 로고
    • Three solutions for a quasilinear two point boundary value problem involving the one-dimensional p-Laplacian
    • -, Three solutions for a quasilinear two point boundary value problem involving the one-dimensional p-Laplacian, Proc. Edinburgh Math. Soc. 47 (2004), 257-270.
    • (2004) Proc. Edinburgh Math. Soc , vol.47 , pp. 257-270
    • Averna, D.1    Bonanno, G.2
  • 7
    • 0002377075 scopus 로고    scopus 로고
    • Three symmetric positive solutions for a second order boundary value problem
    • R.I. Avery and J. Henderson, Three symmetric positive solutions for a second order boundary value problem, Appl. Math. Letters 13 (2000), 1-7.
    • (2000) Appl. Math. Letters , vol.13 , pp. 1-7
    • Avery, R.I.1    Henderson, J.2
  • 8
    • 0002377080 scopus 로고    scopus 로고
    • Existence of three solutions for a two point boundary value problem
    • G. Bonanno, Existence of three solutions for a two point boundary value problem, Appl. Math. Letters 13 (2000), 53-57.
    • (2000) Appl. Math. Letters , vol.13 , pp. 53-57
    • Bonanno, G.1
  • 9
    • 0038558337 scopus 로고    scopus 로고
    • Multiplicity theorems for the Dirichlet problem involving the p-Laplacian
    • G. Bonanno and R. Livrea, Multiplicity theorems for the Dirichlet problem involving the p-Laplacian, Nonlinear Anal. 54 (2003), 1-7.
    • (2003) Nonlinear Anal , vol.54 , pp. 1-7
    • Bonanno, G.1    Livrea, R.2
  • 11
    • 84966234102 scopus 로고
    • On the existence of positive solutions of ordinary differential equations
    • L.H. Erbe and H. Wang, On the existence of positive solutions of ordinary differential equations, Proc. Amer. Math. Soc. 120 (1994), 743-748.
    • (1994) Proc. Amer. Math. Soc , vol.120 , pp. 743-748
    • Erbe, L.H.1    Wang, H.2
  • 12
    • 0242690998 scopus 로고    scopus 로고
    • New existence theorems of positive solutions for Sturm-Liouville boundary value problems
    • W. Ge and J. Ren, New existence theorems of positive solutions for Sturm-Liouville boundary value problems, Appl. Math. Comput. 148 (2004), 631-644.
    • (2004) Appl. Math. Comput , vol.148 , pp. 631-644
    • Ge, W.1    Ren, J.2
  • 13
    • 4444295897 scopus 로고    scopus 로고
    • Two positive solutions for second-order quasilinear differential equation boundary value problems with sign changing nonlinearities
    • Y. Guo and J. Tian, Two positive solutions for second-order quasilinear differential equation boundary value problems with sign changing nonlinearities, J. Comput. Appl. Math. 169 (2004), 345-357.
    • (2004) J. Comput. Appl. Math , vol.169 , pp. 345-357
    • Guo, Y.1    Tian, J.2
  • 15
    • 0001901435 scopus 로고
    • Minimax methods in critical point theory with applicatins to differential equations
    • American Mathematical Society, Providence, RI
    • P.H. Rabinowitz, Minimax methods in critical point theory with applicatins to differential equations, CBMS Regional Conf. Ser. Math. 65, American Mathematical Society, Providence, RI, 1986.
    • (1986) CBMS Regional Conf. Ser. Math , vol.65
    • Rabinowitz, P.H.1
  • 16
    • 0034395861 scopus 로고    scopus 로고
    • On a three critical points theorem
    • B. Ricceri, On a three critical points theorem, Arch. Math. (Basel) 75 (2000), 220-226.
    • (2000) Arch. Math. (Basel) , vol.75 , pp. 220-226
    • Ricceri, B.1
  • 17
    • 27844576539 scopus 로고    scopus 로고
    • A general multiplicity theorem for certain nonlinear equations in Hilbert spaces
    • Math. Soc
    • B. Ricceri, A general multiplicity theorem for certain nonlinear equations in Hilbert spaces, Proc. Ainer. Math. Soc. 133 (2005), 3255-3261.
    • (2005) Proc. Ainer , vol.133 , pp. 3255-3261
    • Ricceri, B.1
  • 18
    • 0003245435 scopus 로고
    • n
    • Journées d'analyse non linéaire, P. Benilan and J. Robert, eds, Springer, New York
    • n, in Journées d'analyse non linéaire, P. Benilan and J. Robert, eds., Lecture Notes Math. 665, Springer, New York, 1978.
    • (1978) Lecture Notes Math , vol.665
    • Simon, J.1
  • 19
    • 42449090689 scopus 로고    scopus 로고
    • Second-Order Sturm-Liouville boundary value problem involving the one-dimensional p-Laplacian
    • Y. Tian and W. Ge, Second-Order Sturm-Liouville boundary value problem involving the one-dimensional p-Laplacian, Rocky Mountain J. Math. 38 (2008), 309-327.
    • (2008) Rocky Mountain J. Math , vol.38 , pp. 309-327
    • Tian, Y.1    Ge, W.2
  • 20
    • 31644445043 scopus 로고
    • Nonlinear functional analysis and its applications
    • Springer, New York
    • E. Zeidler, Nonlinear functional analysis and its applications, Vol. III, Variational methods and applications, Springer, New York, 1985.
    • (1985) Variational methods and applications , vol.3
    • Zeidler, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.