메뉴 건너뛰기




Volumn 132, Issue 6, 2002, Pages 1453-1476

Semilinear elliptic boundary-value problems in combustion theory

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036974348     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500002201     Document Type: Conference Paper
Times cited : (5)

References (27)
  • 1
    • 0001230883 scopus 로고
    • Multiple positive fixed points of asymptotically linear maps
    • H. Amann. Multiple positive fixed points of asymptotically linear maps. J. Funct. Analysis 17 (1974), 174-213.
    • (1974) J. Funct. Analysis , vol.17 , pp. 174-213
    • Amann, H.1
  • 2
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces
    • H. Amann. Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. SIAM Rev. 18 (1976), 620-709.
    • (1976) SIAM Rev. , vol.18 , pp. 620-709
    • Amann, H.1
  • 5
    • 0017558703 scopus 로고
    • Criteria for thermal explosions with and without reactant consumption
    • T. Boddington, P. Gray and G. C. Wake. Criteria for thermal explosions with and without reactant consumption. Proc. R. Soc. Lond. A 357 (1977), 403-422.
    • (1977) Proc. R. Soc. Lond. A , vol.357 , pp. 403-422
    • Boddington, T.1    Gray, P.2    Wake, G.C.3
  • 6
    • 0001231107 scopus 로고
    • Thermal explosions and the disappearance of criticality at small activation energies: Exact results for the slab
    • T. Boddington, P. Gray and C. Robinson. Thermal explosions and the disappearance of criticality at small activation energies: exact results for the slab. Proc. R. Soc. Lond. A 368 (1979), 441-461.
    • (1979) Proc. R. Soc. Lond. A , vol.368 , pp. 441-461
    • Boddington, T.1    Gray, P.2    Robinson, C.3
  • 8
    • 0001926109 scopus 로고
    • Multiple stable solutions of nonlinear boundary value problems arising in chemical reactor theory
    • D. S. Cohen. Multiple stable solutions of nonlinear boundary value problems arising in chemical reactor theory. SIAM J. Appl. Math. 20 (1971), 1-13.
    • (1971) SIAM J. Appl. Math. , vol.20 , pp. 1-13
    • Cohen, D.S.1
  • 9
    • 0000798828 scopus 로고
    • Nonlinear boundary value problems suggested by chemical reactor theory
    • D. S. Cohen and T. W. Laetsch. Nonlinear boundary value problems suggested by chemical reactor theory. J. Diff. Eqns 7 (1970), 217-226.
    • (1970) J. Diff. Eqns. , vol.7 , pp. 217-226
    • Cohen, D.S.1    Laetsch, T.W.2
  • 10
    • 0001617997 scopus 로고
    • The effect of domain shape on the number of positive solutions of certain nonlinear equations
    • E. N. Dancer. The effect of domain shape on the number of positive solutions of certain nonlinear equations. J. Diff. Eqns 74 (1988), 120-156.
    • (1988) J. Diff. Eqns. , vol.74 , pp. 120-156
    • Dancer, E.N.1
  • 11
    • 0034353707 scopus 로고    scopus 로고
    • Exact multiplicity and S-shaped bifurcation curve for some semilinear elliptic problems from combustion theory
    • Y. Du. Exact multiplicity and S-shaped bifurcation curve for some semilinear elliptic problems from combustion theory. SIAM J. Math. Analysis 32 (2000), 707-733.
    • (2000) SIAM J. Math. Analysis , vol.32 , pp. 707-733
    • Du, Y.1
  • 12
    • 84972498049 scopus 로고
    • An extension of Tietze's theorem
    • J. Dugundji. An extension of Tietze's theorem. Pac. J. Math. 1 (1951), 353-367.
    • (1951) Pac. J. Math. , vol.1 , pp. 353-367
    • Dugundji, J.1
  • 13
    • 0003535772 scopus 로고
    • (Boston, MA: Allyn and Bacon)
    • J. Dugundji. Topology. (Boston, MA: Allyn and Bacon, 1966).
    • (1966) Topology
    • Dugundji, J.1
  • 14
    • 0000394603 scopus 로고
    • Multiple positive fixed points of nonlinear operators on ordered Banach spaces
    • R. W. Leggett and L. R. Williams. Multiple positive fixed points of nonlinear operators on ordered Banach spaces. Indiana Univ. Math. J. 28 (1979), 673-688.
    • (1979) Indiana Univ. Math. J. , vol.28 , pp. 673-688
    • Leggett, R.W.1    Williams, L.R.2
  • 16
    • 0001310672 scopus 로고
    • Solutions of a differential equation in chemical reactor processes
    • S. V. Parter. Solutions of a differential equation in chemical reactor processes. SIAM J. Appl. Math. 26 (1974), 687-715.
    • (1974) SIAM J. Appl. Math. , vol.26 , pp. 687-715
    • Parter, S.V.1
  • 18
    • 0012984224 scopus 로고
    • Analytic semigroups and semilinear initial boundary value problems
    • (Cambridge University Press)
    • K. Taira. Analytic semigroups and semilinear initial boundary value problems. London Mathematical Society Lecture Note Series, no. 223 (Cambridge University Press, 1995).
    • (1995) London Mathematical Society Lecture Note Series , vol.223
    • Taira, K.1
  • 19
    • 0012944579 scopus 로고    scopus 로고
    • Bifurcation theory for semilinear elliptic boundary value problems
    • K. Taira. Bifurcation theory for semilinear elliptic boundary value problems. Hiroshima Math. J. 28 (1998), 261-308.
    • (1998) Hiroshima Math. J. , vol.28 , pp. 261-308
    • Taira, K.1
  • 20
    • 0031257134 scopus 로고    scopus 로고
    • Positive solutions of sublinear elliptic boundary value problems
    • K. Taira and K. Umezu. Positive solutions of sublinear elliptic boundary value problems. Nonlin. Analysis 29 (1997), 761-771.
    • (1997) Nonlin. Analysis , vol.29 , pp. 761-771
    • Taira, K.1    Umezu, K.2
  • 21
    • 0001460387 scopus 로고    scopus 로고
    • Semilinear elliptic boundary value problems in chemical reactor theory
    • K. Taira and K. Umezu. Semilinear elliptic boundary value problems in chemical reactor theory. J. Diff. Eqns 142 (1998), 434-454.
    • (1998) J. Diff. Eqns. , vol.142 , pp. 434-454
    • Taira, K.1    Umezu, K.2
  • 22
    • 0012988395 scopus 로고
    • Construction of upper and lower solutions for a problem in combustion theory
    • K. K. Tam. Construction of upper and lower solutions for a problem in combustion theory. J. Math. Analysis Applic. 69 (1979), 131-145.
    • (1979) J. Math. Analysis Applic. , vol.69 , pp. 131-145
    • Tam, K.K.1
  • 23
    • 0001154498 scopus 로고    scopus 로고
    • Rigorous analysis and estimates of S-shaped bifurcation curves in a combustion problem with general Arrhenius reaction-rate laws
    • S.-H. Wang. Rigorous analysis and estimates of S-shaped bifurcation curves in a combustion problem with general Arrhenius reaction-rate laws. Proc. R. Soc. Lond. A 454 (1998), 1031-1048.
    • (1998) Proc. R. Soc. Lond. A , vol.454 , pp. 1031-1048
    • Wang, S.-H.1
  • 25
    • 0001583918 scopus 로고
    • S-shaped bifurcation curves of nonlinear elliptic boundary value problems
    • H. Wiebers. S-shaped bifurcation curves of nonlinear elliptic boundary value problems. Math. Ann. 270 (1985), 555-570.
    • (1985) Math. Ann. , vol.270 , pp. 555-570
    • Wiebers, H.1
  • 26
    • 84974486156 scopus 로고
    • Critical behaviour of nonlinear elliptic boundary value problems suggested by exothermic reactions
    • H. Wiebers. Critical behaviour of nonlinear elliptic boundary value problems suggested by exothermic reactions. Proc. R. Soc. Edinb. A 102 (1986), 19-36.
    • (1986) Proc. R. Soc. Edinb. A , vol.102 , pp. 19-36
    • Wiebers, H.1
  • 27
    • 0018469597 scopus 로고
    • Multiple fixed point theorems for problems in chemical reactor theory
    • L. R. Williams and R. W. Leggett. Multiple fixed point theorems for problems in chemical reactor theory. J. Math. Analysis Applic. 69 (1979), 180-193.
    • (1979) J. Math. Analysis Applic. , vol.69 , pp. 180-193
    • Williams, L.R.1    Leggett, R.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.