메뉴 건너뛰기




Volumn 188, Issue 2, 2003, Pages 569-590

Results on infinite-dimensional topology and applications to the structure of the critical set of nonlinear Sturm-Liouville operators

Author keywords

Infinite dimensional manifolds; Nonlinear differential operators; Sturm Liouville

Indexed keywords


EID: 0037374188     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0396(02)00095-5     Document Type: Article
Times cited : (17)

References (12)
  • 1
    • 34250466905 scopus 로고
    • On the inversion of some differentiable maps between Banach spaces with singularities
    • A. Ambrosetti, G. Prodi, On the inversion of some differentiable maps between Banach spaces with singularities, Ann. Mat. Pura Appl. 93 (1972) 231-246.
    • (1972) Ann. Mat. Pura Appl. , vol.93 , pp. 231-246
    • Ambrosetti, A.1    Prodi, G.2
  • 2
    • 0001188543 scopus 로고
    • On the solutions of a nonlinear Dirichlet problem
    • M. Berger, E. Podolak, On the solutions of a nonlinear Dirichlet problem, Ind. Univ. Math. J. 24 (1975) 837-846.
    • (1975) Ind. Univ. Math. J. , vol.24 , pp. 837-846
    • Berger, M.1    Podolak, E.2
  • 3
    • 0013464165 scopus 로고    scopus 로고
    • Critical sets of nonlinear Sturm-Liouville operators of Ambrosetti-Prodi type
    • H. Bueno, C. Tomei, Critical sets of nonlinear Sturm-Liouville operators of Ambrosetti-Prodi type, Nonlinearity 15 (2002) 1073-1077.
    • (2002) Nonlinearity , vol.15 , pp. 1073-1077
    • Bueno, H.1    Tomei, C.2
  • 4
    • 84966210868 scopus 로고
    • Diffeomorphisms for Hilbert manifolds and handle decomposition
    • D. Burghelea, Diffeomorphisms for Hilbert manifolds and handle decomposition, Bull. Amer. Math. Soc. 76 (1970) 352-357.
    • (1970) Bull. Amer. Math. Soc. , vol.76 , pp. 352-357
    • Burghelea, D.1
  • 7
    • 0001316580 scopus 로고
    • Embeddings, isotopy, stability of Banach manifolds
    • K.D. Elworthy, Embeddings, isotopy, stability of Banach manifolds, Compositio Math. 24 (1972) 175-226.
    • (1972) Compositio Math. , vol.24 , pp. 175-226
    • Elworthy, K.D.1
  • 8
    • 0000489418 scopus 로고
    • The homotopy type of the unitary group of a Hilbert space
    • N.H. Kuiper, The homotopy type of the unitary group of a Hilbert space, Topology 3 (1965) 19-30.
    • (1965) Topology , vol.3 , pp. 19-30
    • Kuiper, N.H.1
  • 9
    • 0004137836 scopus 로고
    • Introduction to Differential Manifolds
    • Interscience, New York
    • S. Lang, Introduction to Differential Manifolds, Interscience, New York, 1962.
    • (1962)
    • Lang, S.1
  • 10
    • 0031068343 scopus 로고    scopus 로고
    • Regular level sets of averages of Nemytskiǐ operators are contractible
    • I. Malta, N.C. Saldanha, C. Tomei, Regular level sets of averages of Nemytskiǐ operators are contractible, J. Funct. Anal. 143 (1997) 461-469.
    • (1997) J. Funct. Anal. , vol.143 , pp. 461-469
    • Malta, I.1    Saldanha, N.C.2    Tomei, C.3
  • 11
    • 0001123683 scopus 로고    scopus 로고
    • Morin singularities and global geometry in a class of ordinary differential equations
    • I. Malta, N.C. Saldanha, C. Tomei, Morin singularities and global geometry in a class of ordinary differential equations, Top. Methods Nonlinear Anal. 10 (1) (1997) 137-169.
    • (1997) Top. Methods Nonlinear Anal. , vol.10 , Issue.1 , pp. 137-169
    • Malta, I.1    Saldanha, N.C.2    Tomei, C.3
  • 12
    • 4243559345 scopus 로고    scopus 로고
    • Singularity theory and bifurcation phenomena in differential equations, quaderno 19
    • Univ. Studi Milano
    • B. Ruf, Singularity theory and bifurcation phenomena in differential equations, quaderno 19, Univ. Studi Milano, 1996.
    • (1996)
    • Ruf, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.