메뉴 건너뛰기




Volumn 12, Issue 3, 1999, Pages 11-17

Existence of positive solutions for m-Laplacian boundary value problems

Author keywords

Locally Lipschitz continuous; m Laplacian boundary value problems; Positive solution

Indexed keywords


EID: 0040320575     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(98)00164-5     Document Type: Article
Times cited : (46)

References (32)
  • 2
    • 0040896337 scopus 로고
    • Uniqueness of positive and nonnegative solutions of nonlinear equations
    • R. Dalmasso, Uniqueness of positive and nonnegative solutions of nonlinear equations, Funkcial. Ekvac. 37, 461-482 (1994).
    • (1994) Funkcial. Ekvac. , vol.37 , pp. 461-482
    • Dalmasso, R.1
  • 3
    • 21844481737 scopus 로고
    • Uniqueness of positive solutions of nonlinear second-order equations
    • R. Dalmasso, Uniqueness of positive solutions of nonlinear second-order equations, Proc. Amer. Math. Soc. 123, 3417-3424 (1995).
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 3417-3424
    • Dalmasso, R.1
  • 4
    • 46149141759 scopus 로고
    • Remarks on sublinear elliptic equations
    • H. Brezis and L. Oswald, Remarks on sublinear elliptic equations, Nonlinear Analysis T.M.&A. 19, 55-64 (1986).
    • (1986) Nonlinear Analysis T.M.&A. , vol.19 , pp. 55-64
    • Brezis, H.1    Oswald, L.2
  • 5
    • 0038948977 scopus 로고    scopus 로고
    • Uniqueness of positive solutions for singular nonlinear boundary value problems
    • F.H. Wong and S.L. Yu, Uniqueness of positive solutions for singular nonlinear boundary value problems, Hiroshima Mathematical Journal 26, 233-243 (1996).
    • (1996) Hiroshima Mathematical Journal , vol.26 , pp. 233-243
    • Wong, F.H.1    Yu, S.L.2
  • 7
    • 0001015205 scopus 로고
    • Uniqueness of positive solutions of quasilinear differential equations
    • Y. Naito, Uniqueness of positive solutions of quasilinear differential equations, Differential Integral Equations 8, 1813-1822 (1995).
    • (1995) Differential Integral Equations , vol.8 , pp. 1813-1822
    • Naito, Y.1
  • 8
    • 85033969977 scopus 로고    scopus 로고
    • Uniqueness of positive solutions for Sturm-Liouville boundary value problems
    • to appear
    • F.H. Wong, Uniqueness of positive solutions for Sturm-Liouville boundary value problems, Proc. Amer. Math. Soc. (to appear).
    • Proc. Amer. Math. Soc.
    • Wong, F.H.1
  • 9
    • 0002493021 scopus 로고
    • Nonlinear boundary value problems for some classes of ordinary differential equations
    • A. Granas, R.B. Guenther and J.W. Lee, Nonlinear boundary value problems for some classes of ordinary differential equations, Rocky Mountain Jour. Math. 10, 35-58 (1980).
    • (1980) Rocky Mountain Jour. Math. , vol.10 , pp. 35-58
    • Granas, A.1    Guenther, R.B.2    Lee, J.W.3
  • 10
    • 30244508302 scopus 로고    scopus 로고
    • Singular boundary value problems for superlinear second order ordinary and delay differential equations
    • to appear
    • R.P. Agarwal and D. O'Regan, Singular boundary value problems for superlinear second order ordinary and delay differential equations, J. Diff. Equs. (to appear).
    • J. Diff. Equs.
    • Agarwal, R.P.1    O'Regan, D.2
  • 12
    • 0000742964 scopus 로고
    • Existence and uniqueness results for semilinear Dirichlet problems in annuli
    • C.V. Coffman and M. Marcus, Existence and uniqueness results for semilinear Dirichlet problems in annuli, Arch. Rational Mech. Anal. 108, 293-307 (1989).
    • (1989) Arch. Rational Mech. Anal. , vol.108 , pp. 293-307
    • Coffman, C.V.1    Marcus, M.2
  • 13
    • 84972541946 scopus 로고
    • Existence of positive solutions for semiliear elliptic equations in annular domain
    • H. Dang and K. Schmit, Existence of positive solutions for semiliear elliptic equations in annular domain, Diff. and Integ. Equs. 7, 747-758 (1994).
    • (1994) Diff. and Integ. Equs. , vol.7 , pp. 747-758
    • Dang, H.1    Schmit, K.2
  • 14
    • 0039118260 scopus 로고
    • Boundary value problems for ordinary differential equations
    • L.H. Erbe, Boundary value problems for ordinary differential equations, Rocky Mountain J. Math. 1, 709-729 (1970).
    • (1970) Rocky Mountain J. Math. , vol.1 , pp. 709-729
    • Erbe, L.H.1
  • 15
    • 43949161468 scopus 로고
    • Multiple positive solutions of some boundary value problems
    • L.H. Erbe, S. Hu and H. Wang, Multiple positive solutions of some boundary value problems, J. Math. Anal. Appl. 184, 640-648 (1994).
    • (1994) J. Math. Anal. Appl. , vol.184 , pp. 640-648
    • Erbe, L.H.1    Hu, S.2    Wang, H.3
  • 16
    • 0003110611 scopus 로고
    • Existence of positive radial solutions for semiliear elliptic equations in the annulus
    • X. Garaizar, Existence of positive radial solutions for semiliear elliptic equations in the annulus, J. Differential Equations 70, 69-72 (1987).
    • (1987) J. Differential Equations , vol.70 , pp. 69-72
    • Garaizar, X.1
  • 17
    • 0001112212 scopus 로고
    • Multiple solutions of two-point boundary value problems for ordinary differential equations in Banach spaces
    • D. Guo and V. Lakshmikantham, Multiple solutions of two-point boundary value problems for ordinary differential equations in Banach spaces, J. Math. Anal. Appl. 129, 211-222 (1988).
    • (1988) J. Math. Anal. Appl. , vol.129 , pp. 211-222
    • Guo, D.1    Lakshmikantham, V.2
  • 18
    • 0000830764 scopus 로고
    • A note on a second order three-point boundary value problem
    • C.P. Gupta, A note on a second order three-point boundary value problem, J. Math. Anal. Appl. 186, 277-281 (1994).
    • (1994) J. Math. Anal. Appl. , vol.186 , pp. 277-281
    • Gupta, C.P.1
  • 19
    • 0009445892 scopus 로고
    • Positive solutions of a problem of Emden-Fowler type with a free boundary
    • G. Iffland, Positive solutions of a problem of Emden-Fowler type with a free boundary, SIAM J. Math. Anal. 18, 283-292 (1987).
    • (1987) SIAM J. Math. Anal. , vol.18 , pp. 283-292
    • Iffland, G.1
  • 20
    • 84972496078 scopus 로고
    • Existence theorems for second order boundary value problems
    • H.G. Kaper, M. Knapp and M.K. Kwong, Existence theorems for second order boundary value problems, Differential Integral Equations 4, 543-554 (1991).
    • (1991) Differential Integral Equations , vol.4 , pp. 543-554
    • Kaper, H.G.1    Knapp, M.2    Kwong, M.K.3
  • 22
    • 21344432523 scopus 로고    scopus 로고
    • On the existence of positive solutions of nonlinear second-order differential equations
    • W.C. Lian, F.H. Wong and C.C. Yen, On the existence of positive solutions of nonlinear second-order differential equations, Proc. Amer. Math. Soc. 124, 1117-1126 (1996).
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 1117-1126
    • Lian, W.C.1    Wong, F.H.2    Yen, C.C.3
  • 23
    • 45949128628 scopus 로고
    • Nonnegative solutions to boundary value problems for nonlinear first and second order ordinary differential equations
    • J. Santanilla, Nonnegative solutions to boundary value problems for nonlinear first and second order ordinary differential equations, J. Math. Anal. Appl. 126, 397-408 (1987).
    • (1987) J. Math. Anal. Appl. , vol.126 , pp. 397-408
    • Santanilla, J.1
  • 24
    • 0040133178 scopus 로고
    • A comparison theorem for second order ODEs and application to singular problems
    • A. Tineo, A comparison theorem for second order ODEs and application to singular problems, Jour. Diff. Equs. 116, 16-30 (1995).
    • (1995) Jour. Diff. Equs. , vol.116 , pp. 16-30
    • Tineo, A.1
  • 25
    • 0000138479 scopus 로고
    • Existence of positive solutions of singular boundary value problems
    • F.H. Wong, Existence of positive solutions of singular boundary value problems, Nonlinear Analysis T.M.&A. 21, 397-406 (1993).
    • (1993) Nonlinear Analysis T.M.&A. , vol.21 , pp. 397-406
    • Wong, F.H.1
  • 26
    • 38249007274 scopus 로고
    • On a singular elliptic boundary value problem in a ball
    • H. Usami, On a singular elliptic boundary value problem in a ball, Nonlinear Analysis T.M.&A. 13, 1163-1170 (1989).
    • (1989) Nonlinear Analysis T.M.&A. , vol.13 , pp. 1163-1170
    • Usami, H.1
  • 27
    • 3042863935 scopus 로고    scopus 로고
    • Superlinear and sublinear focal boundary value problems
    • to appear
    • R.P. Agarwal and J. Henderson, Superlinear and sublinear focal boundary value problems, Applicable Analysis (to appear).
    • Applicable Analysis
    • Agarwal, R.P.1    Henderson, J.2
  • 29
  • 30
    • 0000145035 scopus 로고
    • Steady state turbulent flow with reaction
    • L.E. Bobisud, Steady state turbulent flow with reaction, Rocky Mount. J. Math. 21, 993-1007 (1991).
    • (1991) Rocky Mount. J. Math. , vol.21 , pp. 993-1007
    • Bobisud, L.E.1
  • 31
    • 0039118250 scopus 로고    scopus 로고
    • Uniqueness of positive solutions for quasilinear singular boundary value problem
    • W.C. Lian and F.H. Wong, Uniqueness of positive solutions for quasilinear singular boundary value problem, Appl. Math. Lett. 9 (6), 53-59 (1996).
    • (1996) Appl. Math. Lett. , vol.9 , Issue.6 , pp. 53-59
    • Lian, W.C.1    Wong, F.H.2
  • 32
    • 84968476553 scopus 로고
    • Multiple solutions for the p-Laplacian under global nonresonance
    • M. del Pino and R. Manasevich, Multiple solutions for the p-Laplacian under global nonresonance, Proc. Amer. Math. Soc. 112, 131-138 (1991).
    • (1991) Proc. Amer. Math. Soc. , vol.112 , pp. 131-138
    • Del Pino, M.1    Manasevich, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.