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Volumn 2005, Issue , 2005, Pages 1-11

Positive solutions for elliptic equations with singular nonlinearity

Author keywords

Elliptic equation; Monotonic iteration; Positive solution; Singular nonlineararity

Indexed keywords


EID: 13444278677     PISSN: 10726691     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (30)

References (13)
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    • (1972) Indiana Univ. Math. J. , vol.21 , pp. 925-935
    • Amann, H.1
  • 2
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    • Combined effects of concave and convex nonlinearities in some elliptic problems
    • A. Ambrosetti, H. Brézis and G. Cerami; Combined effects of concave and convex nonlinearities in some elliptic problems, J. Funct. Anal., 122(1994), No.2, 519-543.
    • (1994) J. Funct. Anal. , vol.122 , Issue.2 , pp. 519-543
    • Ambrosetti, A.1    Brézis, H.2    Cerami, G.3
  • 3
    • 0000863427 scopus 로고
    • Some positive problems suggested by nonlinear heat generators
    • D. S. Cohen and H. B. Keller; Some positive problems suggested by nonlinear heat generators, J. Math. Mech., 16(1967), 1361-76.
    • (1967) J. Math. Mech. , vol.16 , pp. 1361-1376
    • Cohen, D.S.1    Keller, H.B.2
  • 4
    • 0019045535 scopus 로고
    • A nonlinear singular boundary-value problem in the theory of psedoplastic fluids
    • A. Callegari and A. Nashman; A nonlinear singular boundary-value problem in the theory of psedoplastic fluids, SIAM J. Appl. Math., 38(1980), 275-281.
    • (1980) SIAM J. Appl. Math. , vol.38 , pp. 275-281
    • Callegari, A.1    Nashman, A.2
  • 5
    • 84863910600 scopus 로고
    • On a Dirichlet problem with a singular nonlinearity
    • M. G. Crandall, P. H. Rabinowitz and L. Tartar; On a Dirichlet problem with a singular nonlinearity, Comm. Part. Diff. Eq. 2(2)(1977), 193-222.
    • (1977) Comm. Part. Diff. Eq. , vol.2 , Issue.2 , pp. 193-222
    • Crandall, M.G.1    Rabinowitz, P.H.2    Tartar, L.3
  • 6
    • 0000980547 scopus 로고
    • An elliptic equation with singular nonlinearaity
    • Diaz, J. M. Morel and L. Oswald; An elliptic equation with singular nonlinearaity, Comm. Part. Diff. Eq., 12(1987), 1333-44.
    • (1987) Comm. Part. Diff. Eq. , vol.12 , pp. 1333-1344
    • Diaz1    Morel, J.M.2    Oswald, L.3
  • 7
    • 0007330352 scopus 로고
    • A singular nonlinear equation
    • W. Fulks and J. S. Maybee; A singular nonlinear equation, Osaka Math. J., 12(1960), 1-19.
    • (1960) Osaka Math. J. , vol.12 , pp. 1-19
    • Fulks, W.1    Maybee, J.S.2
  • 9
    • 84968514134 scopus 로고
    • On a singular nonlinear elliptic boundary value problem
    • A. C. Lazer and P. J. Mckenna; On a singular nonlinear elliptic boundary value problem, Proc. Amer. Math. Soc., 3(1991), 720-730.
    • (1991) Proc. Amer. Math. Soc. , vol.3 , pp. 720-730
    • Lazer, A.C.1    Mckenna, P.J.2
  • 10
    • 0002608722 scopus 로고    scopus 로고
    • Exact multiplicity of positive solutions for a class of semilinear problem: II
    • Tiancheng Ouyang and Junping Shi; Exact multiplicity of positive solutions for a class of semilinear problem: II., J. Diff. Eqns. 158, (1999), 94-151.
    • (1999) J. Diff. Eqns. , vol.158 , pp. 94-151
    • Ouyang, T.1    Shi, J.2
  • 11
    • 0013254828 scopus 로고
    • A remark on the proceeding paper of Amann
    • J. Serrin: A remark on the proceeding paper of Amann, Arch. Rat. Mech. Analysis, 44(1972), 182-186.
    • (1972) Arch. Rat. Mech. Analysis , vol.44 , pp. 182-186
    • Serrin, J.1
  • 12
    • 0007332569 scopus 로고
    • Existence and approximation of solutions of nonlinear elliptic equations
    • C. A. Staurt; Existence and approximation of solutions of nonlinear elliptic equations, Math. Z. 147(1976), 53-62.
    • (1976) Math. Z. , vol.147 , pp. 53-62
    • Staurt, C.A.1
  • 13
    • 0040333336 scopus 로고    scopus 로고
    • Iterative solution for a singular nonlinear elliptic problem
    • Sun Yijing and Wu Shaoping; Iterative solution for a singular nonlinear elliptic problem, Applied Mathematics and Computation, 118(2001), 53-62.
    • (2001) Applied Mathematics and Computation , vol.118 , pp. 53-62
    • Yijing, S.1    Shaoping, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.