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Volumn 21, Issue 11-12, 1996, Pages 1729-1770

Multiple critical points for asymptotically quadratic functionals

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EID: 0001597047     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309608821244     Document Type: Article
Times cited : (8)

References (22)
  • 1
    • 0004626355 scopus 로고    scopus 로고
    • Differential equations with multiple solutions and nonlinear differential functional analysis
    • Wurzburg, Lect. Notes in Math. No 1017, Springer, Berlin
    • A. Ambrosett. Differential equations with multiple solutions and nonlinear differential functional analysis. Equadiff 82, Wurzburg, Lect. Notes in Math. No 1017, Springer, Berlin, 10-37.
    • Equadiff , vol.82 , pp. 10-37
    • Ambrosett, A.1
  • 2
    • 34548350707 scopus 로고
    • Dual variational methods in critical point theory and applications
    • A. Ambrosetti and P. H. Rabinowitz. Dual variational methods in critical point theory and applications. J. F. Anal. 14 (1973), 349-381.
    • (1973) J. F. Anal. , vol.14 , pp. 349-381
    • Ambrosetti, A.1    Rabinowitz, P.H.2
  • 3
    • 0009179578 scopus 로고
    • Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity
    • P. Bartolo, V. Benci, and D. Fortunato. Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity. Nonlinear Anal.-TMA 7 (1983), 981-1012.
    • (1983) Nonlinear Anal.-TMA , vol.7 , pp. 981-1012
    • Bartolo, P.1    Benci, V.2    Fortunato, D.3
  • 4
    • 0041143281 scopus 로고    scopus 로고
    • Periodic solutions of asymptotically linear dinamical suystems
    • V. Benci and D. Fortunato. Periodic solutions of asymptotically linear dinamical suystems. To appear in Nolinear Diff. Eq. Appl.
    • Nolinear Diff. Eq. Appl.
    • Benci, V.1    Fortunato, D.2
  • 5
    • 1542437218 scopus 로고
    • Critical point theorems for indefinite functionals
    • V. Benci and P. H. Rabinowitz. Critical point theorems for indefinite functionals. Inventiones Math. 52 (1979), 241-273.
    • (1979) Inventiones Math. , vol.52 , pp. 241-273
    • Benci, V.1    Rabinowitz, P.H.2
  • 7
    • 0000371039 scopus 로고
    • Existence of solutions for a class of resonant elliptic problems
    • D. G. Costa and E. A. de B. e Silva. Existence of solutions for a class of resonant elliptic problems. J. Math. Anal. Appl. 175 (1993), 411-424.
    • (1993) J. Math. Anal. Appl. , vol.175 , pp. 411-424
    • Costa, D.G.1    Silva, E.A.D.B.E.2
  • 8
    • 0002071134 scopus 로고
    • Degenerate critical points, homotopy indices and Morse inequalities
    • E. N. Dancer. Degenerate critical points, homotopy indices and Morse inequalities. J. Reine Angew. Math. 350 (1984), 1-22.
    • (1984) J. Reine Angew. Math. , vol.350 , pp. 1-22
    • Dancer, E.N.1
  • 9
    • 0001202153 scopus 로고
    • The topological degree at a critical point of mountain pass type
    • Amer. Math. Soc.
    • H. Höfer. The topological degree at a critical point of mountain pass type. Proc. Symp. Pure Math. 45, part I, Amer. Math. Soc. (1986), 501-509.
    • (1986) Proc. Symp. Pure Math. , vol.45 , Issue.PART I , pp. 501-509
    • Höfer, H.1
  • 10
    • 0000851112 scopus 로고
    • Nonlinear perturbations of linear elliptic boundary value problems at resonance
    • E. A. Landesman and A. C. Lazer. Nonlinear perturbations of linear elliptic boundary value problems at resonance. J. Math. Mech. 19 (1970), 609-623.
    • (1970) J. Math. Mech. , vol.19 , pp. 609-623
    • Landesman, E.A.1    Lazer, A.C.2
  • 11
    • 0000302191 scopus 로고
    • Nontrivial solutions of operator equations and morses indices of critical points of min-max type
    • A. C. Lazer and S. Solimini. Nontrivial solutions of operator equations and Morses indices of critical points of min-max type. Nonlinear Anal.-TMA 12 (1986), 761-775.
    • (1986) Nonlinear Anal.-TMA , vol.12 , pp. 761-775
    • Lazer, A.C.1    Solimini, S.2
  • 12
    • 0000661856 scopus 로고
    • Some existence theorems on multiple critical points and their applications
    • J. Q. Liu and Li Shujie. Some existence theorems on multiple critical points and their applications. Kexue Tongbao 17 (1984).
    • (1984) Kexue Tongbao , vol.17
    • Liu, J.Q.1    Shujie, L.2
  • 13
    • 0002843994 scopus 로고
    • Metodi perturbativi nella teoria di Morse
    • A. Marino and G. Prodi. Metodi perturbativi nella teoria di Morse. Boll Un. Ital. 11 (1975), 1-32.
    • (1975) Boll Un. Ital. , vol.11 , pp. 1-32
    • Marino, A.1    Prodi, G.2
  • 15
    • 0001415085 scopus 로고
    • Some minimax theorems and applications to nonlinear partial differential equations
    • (Edited by L. Cesari, R. Kannarn and H. Weinberg). Academic Press, New York
    • P. H. Rabinowitz. Some minimax theorems and applications to nonlinear partial differential equations. Nonlinear Analysis: A colection of papers in honor of Erich Röthe (Edited by L. Cesari, R. Kannarn and H. Weinberg). Academic Press, New York (1978), 161-177.
    • (1978) Nonlinear Analysis: A Colection of Papers in Honor of Erich Röthe , pp. 161-177
    • Rabinowitz, P.H.1
  • 16
    • 0001901435 scopus 로고
    • Minimax methods in critical point theory with applications to differential equations
    • Am. Math. Soc., Providence, RI
    • P. H. Rabinowitz. Minimax methods in critical point theory with applications to differential equations. C.B.M.S. Regional Confer. Ser. in Math., no 65, Am. Math. Soc., Providence, RI (1986).
    • (1986) C.B.M.S. Regional Confer. Ser. in Math. , vol.65
    • Rabinowitz, P.H.1
  • 17
    • 0039956212 scopus 로고
    • Critical point theory in Hilbert spaces under regular boundary conditions
    • E. Röthe. Critical point theory in Hilbert spaces under regular boundary conditions. J. Math. Anal. Appl. 36 (1971), 377-431.
    • (1971) J. Math. Anal. Appl. , vol.36 , pp. 377-431
    • Röthe, E.1
  • 19
    • 0000079977 scopus 로고
    • Linking theorems and applications to semilinear elliptic problems at resonance
    • E. A. de B. e Silva. Linking theorems and applications to semilinear elliptic problems at resonance. Nonlinear Anal.-T.M.A. 16 (1991), 455-477.
    • (1991) Nonlinear Anal.-T.M.A. , vol.16 , pp. 455-477
    • Silva, E.A.D.B.E.1
  • 20
    • 0039956217 scopus 로고    scopus 로고
    • Critical point theorems and applications to a semilinear elliptic problem
    • E. A. de B. e Silva. Critical point theorems and applications to a semilinear elliptic problem. To appear in Nonlinear Diff. Eq. Appl.
    • Nonlinear Diff. Eq. Appl.
    • Silva, E.A.D.B.E.1
  • 21
    • 0001350959 scopus 로고
    • Morse index estimates in mini max theorems
    • S. Solimini. Morse index estimates in mini max theorems. Manuscripta Math. 63 (1989), 421-454.
    • (1989) Manuscripta Math. , vol.63 , pp. 421-454
    • Solimini, S.1
  • 22
    • 0006748387 scopus 로고
    • On the mountain pass theorem
    • G. Tian. On the mountain pass theorem. Chin. Bull. Sci. 14 (1983), 833-835.
    • (1983) Chin. Bull. Sci. , vol.14 , pp. 833-835
    • Tian, G.1


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