메뉴 건너뛰기




Volumn 89, Issue 1-3, 1998, Pages 225-239

Numerical continuation and the Gelfand problem

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0012166933     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(97)81660-8     Document Type: Article
Times cited : (48)

References (17)
  • 3
    • 0010950704 scopus 로고
    • Sur les equations integrales non lineares
    • G. Bratu, Sur les equations integrales non lineares, Bull. Soc. Math. de France, 42:113-142, (1914).
    • (1914) Bull. Soc. Math. de France , vol.42 , pp. 113-142
    • Bratu, G.1
  • 4
    • 0000247179 scopus 로고
    • Some problems in the theory of quasilinear equations
    • I. M. Gelfand, Some problems in the theory of quasilinear equations, Amer. Math. Soc. Transl., 29:295-381, (1963).
    • (1963) Amer. Math. Soc. Transl. , vol.29 , pp. 295-381
    • Gelfand, I.M.1
  • 5
    • 0015557517 scopus 로고
    • Quasilinear Dirichlet prolems driven by positive sources
    • D. D. Joseph and T. S. Lundgren, Quasilinear Dirichlet prolems driven by positive sources, Arch. Rat. Mech. Appl., 49:241-269, (1973).
    • (1973) Arch. Rat. Mech. Appl. , vol.49 , pp. 241-269
    • Joseph, D.D.1    Lundgren, T.S.2
  • 6
    • 0016643640 scopus 로고
    • Some continuation and variation methods for positive solutions of nonlinear elliptic eigenvalue problems
    • M. G. Crandall and P. H. Rabinowitz, Some continuation and variation methods for positive solutions of nonlinear elliptic eigenvalue problems, Arch. Rat. Mech. Anal., 58(3):208-218, (1975).
    • (1975) Arch. Rat. Mech. Anal. , vol.58 , Issue.3 , pp. 208-218
    • Crandall, M.G.1    Rabinowitz, P.H.2
  • 7
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • B. Gidas, W. Ni, and L. Nirenberg, Symmetry and related properties via the maximum principle, Comm. Math. Phys., 68:209-243, (1979).
    • (1979) Comm. Math. Phys. , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, W.2    Nirenberg, L.3
  • 8
    • 38249016357 scopus 로고
    • Positive radial solutions and non-radial bifurcation for semilinear elliptic equations in annular domains
    • S. S. Lin, Positive radial solutions and non-radial bifurcation for semilinear elliptic equations in annular domains, J. Diff, Eq., 86:367-391, (1990).
    • (1990) J. Diff, Eq. , vol.86 , pp. 367-391
    • Lin, S.S.1
  • 10
    • 84972535729 scopus 로고
    • On solution continua of supercritical quasilinear elliptic problems
    • J. S. McGough, On solution continua of supercritical quasilinear elliptic problems, Dif. Int. Eqns, 7(5/6): 1453-1471, (1994).
    • (1994) Dif. Int. Eqns , vol.7 , Issue.5-6 , pp. 1453-1471
    • McGough, J.S.1
  • 11
    • 0000360737 scopus 로고
    • Continuation-conjugate gradient methods for the least square solution of nonlinear boundary value problems
    • October
    • R. Glowinski, H. B. Keller, and L. Reinhart, Continuation-conjugate gradient methods for the least square solution of nonlinear boundary value problems, SIAM J. Sci. Stat. Comput., 6(4):793-832, (October 1985).
    • (1985) SIAM J. Sci. Stat. Comput. , vol.6 , Issue.4 , pp. 793-832
    • Glowinski, R.1    Keller, H.B.2    Reinhart, L.3
  • 12
    • 23644433214 scopus 로고    scopus 로고
    • Deleted in proof.
    • Deleted in proof.
  • 15
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Y. Saad and M. H. Schultz, GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Stat. Comput., 7:856-869, (1986).
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 16
    • 0003423553 scopus 로고
    • Hybrid Krylov methods for nonlinear systems of equations
    • LLNL, November
    • P. Brown and Y. Saad, Hybrid Krylov methods for nonlinear systems of equations, Technical Report ucrl-97645, LLNL, November 1987.
    • (1987) Technical Report Ucrl-97645
    • Brown, P.1    Saad, Y.2
  • 17
    • 0002017520 scopus 로고
    • A priori estimates and existence of positive solutions of semilinear elliptic equations
    • D. G. de Figueiredo, P. L. Lions, and R. D. Nussbaum, A priori estimates and existence of positive solutions of semilinear elliptic equations, J. Math. pures et appl., 61:41-63, (1982).
    • (1982) J. Math. Pures et Appl. , vol.61 , pp. 41-63
    • De Figueiredo, D.G.1    Lions, P.L.2    Nussbaum, R.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.