메뉴 건너뛰기




Volumn 325, Issue 2, 2003, Pages 369-392

Real analyticity and non-degeneracy

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0038271703     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-002-0352-2     Document Type: Article
Times cited : (61)

References (37)
  • 1
    • 84980079270 scopus 로고
    • Properties of solutions of ordinary differential equations in Banach spaces
    • S. Agmon, L. Nirenberg, Properties of solutions of ordinary differential equations in Banach spaces. Comm. Pure App. Math 16 (1963), 121-239
    • (1963) Comm. Pure App. Math , vol.16 , pp. 121-239
    • Agmon, S.1    Nirenberg, L.2
  • 3
    • 0000840471 scopus 로고
    • Some qualitative properties of solutions of semilinear elliptic equations on bounded domains
    • Academic Press, New York
    • H. Berestycki, L. Nirenberg, Some qualitative properties of solutions of semilinear elliptic equations on bounded domains, p. 115-164 in Analysis et cetera, Academic Press, New York, 1990
    • (1990) Analysis et Cetera , pp. 115-164
    • Berestycki, H.1    Nirenberg, L.2
  • 6
    • 0001056317 scopus 로고
    • Bifurcation from simple eigenvalues
    • M. Crandall, P. Rabinowitz, Bifurcation from simple eigenvalues. J. Funct Anal 8 (1971), 321-340
    • (1971) J. Funct Anal , vol.8 , pp. 321-340
    • Crandall, M.1    Rabinowitz, P.2
  • 7
    • 84959792800 scopus 로고
    • Global structure of the solutions of nonlinear real analytic eigenvalue problems
    • E.N. Dancer, Global structure of the solutions of nonlinear real analytic eigenvalue problems. Proc London Math Soc 27 (1973), 747-765
    • (1973) Proc London Math Soc , vol.27 , pp. 747-765
    • Dancer, E.N.1
  • 8
    • 84959788910 scopus 로고
    • Bifurcation theory for analytic operators
    • E.N. Dancer, Bifurcation theory for analytic operators. Proc. London Math Soc 26 (1973), 359-384
    • (1973) Proc. London Math Soc , vol.26 , pp. 359-384
    • Dancer, E.N.1
  • 9
    • 0038509272 scopus 로고
    • Weakly nonlinear Dirichlet problems on long or thin domains
    • E.N. Dancer, Weakly nonlinear Dirichlet problems on long or thin domains. Memoirs Amer Math Soc 501 (1993)
    • (1993) Memoirs Amer Math Soc , vol.501
    • Dancer, E.N.1
  • 11
    • 0001921531 scopus 로고
    • Boundary value problems for ordinary differential equations on infinite intervals
    • E.N. Dancer, Boundary value problems for ordinary differential equations on infinite intervals. Proc London Math Soc 30 (1975), 76-94
    • (1975) Proc London Math Soc , vol.30 , pp. 76-94
    • Dancer, E.N.1
  • 12
    • 51249171271 scopus 로고
    • On the number of positive solutions of some weakly nonlinear equations on annular regions
    • E.N. Dancer, On the number of positive solutions of some weakly nonlinear equations on annular regions. Math Zeit 206 (1991), 551-562
    • (1991) Math Zeit , vol.206 , pp. 551-562
    • Dancer, E.N.1
  • 13
    • 0001617997 scopus 로고
    • The effect of domain shape on the number of solutions of weakly nonlinear elliptic equations
    • E.N. Dancer, The effect of domain shape on the number of solutions of weakly nonlinear elliptic equations. J. Diff Eqns 74 (1988), 120-156
    • (1988) J. Diff Eqns , vol.74 , pp. 120-156
    • Dancer, E.N.1
  • 14
    • 21844522832 scopus 로고
    • On the uniqueness of the positive solution of a singularly perturbed problem
    • E.N. Dancer, On the uniqueness of the positive solution of a singularly perturbed problem. Rocky Mtn J. Math 25 (1995), 957-975
    • (1995) Rocky Mtn J. Math , vol.25 , pp. 957-975
    • Dancer, E.N.1
  • 15
    • 0000314114 scopus 로고
    • On the influence of domain shape on the existence of large solutions of some superlinear problems
    • E.N. Dancer, On the influence of domain shape on the existence of large solutions of some superlinear problems. Math Ann 285 (1989), 647-669
    • (1989) Math Ann , vol.285 , pp. 647-669
    • Dancer, E.N.1
  • 16
    • 84971725019 scopus 로고
    • Some notes on the methods of moving planes
    • E.N. Dancer, Some notes on the methods of moving planes. Bull Australian Math Soc 46 (1992), 425-434
    • (1992) Bull Australian Math Soc , vol.46 , pp. 425-434
    • Dancer, E.N.1
  • 17
    • 84962994401 scopus 로고
    • On the number of positive solutions a weakly nonlinear elliptic equation when a parameter is large
    • E.N. Dancer, On the number of positive solutions a weakly nonlinear elliptic equation when a parameter is large. Proc London Math Soc 53 (1986), 429-452
    • (1986) Proc London Math Soc , vol.53 , pp. 429-452
    • Dancer, E.N.1
  • 18
    • 0038170593 scopus 로고    scopus 로고
    • Asymptotic behaviour of positive solutions of some elliptic problems
    • E.N. Dancer, Yihong Du, Li Ma, Asymptotic behaviour of positive solutions of some elliptic problems. To appear in Pacific J. Math
    • Pacific J. Math
    • Dancer, E.N.1    Du, Y.2    Ma, L.3
  • 19
    • 0036383376 scopus 로고    scopus 로고
    • Multibump solutions for an elliptic problem in expanding domains
    • E.N. Dancer, S. Yan, Multibump solutions for an elliptic problem in expanding domains. Comm Partial Diff Eqns, 27 (2002), 23-55
    • (2002) Comm Partial Diff Eqns , vol.27 , pp. 23-55
    • Dancer, E.N.1    Yan, S.2
  • 21
    • 84982538867 scopus 로고
    • Analytische theorie des abbildungen in Banachraumen
    • C. Fenske, Analytische Theorie des Abbildungen in Banachraumen. Math Nachr 48 (1971), 279-290
    • (1971) Math Nachr , vol.48 , pp. 279-290
    • Fenske, C.1
  • 23
    • 0000280076 scopus 로고    scopus 로고
    • A uniqueness result for a semilinear elliptic equation in symmetric domains
    • M. Grossi, A uniqueness result for a semilinear elliptic equation in symmetric domains. Advances Diff Eqns 5 (2000), 193-212
    • (2000) Advances Diff Eqns , vol.5 , pp. 193-212
    • Grossi, M.1
  • 24
    • 84903853123 scopus 로고
    • Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
    • Z.C. Han, Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent. Analyse Nonlineaire 8 (1991), 159-174
    • (1991) Analyse Nonlineaire , vol.8 , pp. 159-174
    • Han, Z.C.1
  • 26
    • 0038509247 scopus 로고
    • The topological degree on Banach manifolds
    • International Atomic Energy Agency, Vienna
    • C. Isnard, The topological degree on Banach manifolds, p. 291-314 in Global Analysis and Applications vol II, International Atomic Energy Agency, Vienna 1974
    • (1974) Global Analysis and Applications , vol.2 , pp. 291-314
    • Isnard, C.1
  • 29
    • 84972508309 scopus 로고
    • Uniqueness of the positive solutions of Δu + f(u) = 0 is an annulus
    • M.H. Kwong, Liqun Zhang, Uniqueness of the positive solutions of Δu + f(u) = 0 is an annulus. Diff Integral Eqns 4 (1991), 583-599
    • (1991) Diff Integral Eqns , vol.4 , pp. 583-599
    • Kwong, M.H.1    Zhang, L.2
  • 30
    • 0001675486 scopus 로고
    • n and related problems
    • n and related problems. J. Diff Eqns 120 (1995), 319-410
    • (1995) J. Diff Eqns , vol.120 , pp. 319-410
    • Li, Y.V.1
  • 32
    • 0000703026 scopus 로고
    • The fixed point index for locally condensing maps
    • R. Nussbaum, The fixed point index for locally condensing maps. Ann Math Pura Appl 89 (1971), 217-258
    • (1971) Ann Math Pura Appl , vol.89 , pp. 217-258
    • Nussbaum, R.1
  • 33
    • 0009297310 scopus 로고
    • Asymptotic expansion of solutions of ordinary differential equations in Hubert spaces
    • A. Pazy, Asymptotic expansion of solutions of ordinary differential equations in Hubert spaces. Archives Rational Mech Anal 24 (1967), 193-218
    • (1967) Archives Rational Mech Anal , vol.24 , pp. 193-218
    • Pazy, A.1
  • 34
    • 0000381183 scopus 로고
    • Generic properties of nonlinear boundary value problems
    • J. Saut, R. Temam, Generic properties of nonlinear boundary value problems. Comm Partial Diff Eqns 4 (1979), 293-319
    • (1979) Comm Partial Diff Eqns , vol.4 , pp. 293-319
    • Saut, J.1    Temam, R.2
  • 36
    • 0030578649 scopus 로고    scopus 로고
    • On the construction of single peaked solutions to a singularly perturbed semilinear Dirichlet problem
    • J. Wei, On the construction of single peaked solutions to a singularly perturbed semilinear Dirichlet problem. J. Diff Eqns 129 (1996), 315-333
    • (1996) J. Diff Eqns , vol.129 , pp. 315-333
    • Wei, J.1
  • 37
    • 0033586861 scopus 로고    scopus 로고
    • Uniqueness results through a priori estimates 1. A three dimensional Neumann problem
    • M. Zhu, Uniqueness results through a priori estimates 1. A three dimensional Neumann problem. J. Diff Eqns 154 (1999), 284-317
    • (1999) J. Diff Eqns , vol.154 , pp. 284-317
    • Zhu, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.