메뉴 건너뛰기




Volumn 235, Issue 1, 1999, Pages 237-259

The Computations of the Critical Groups with an Application to Elliptic Resonant Problems at a Higher Eigenvalue

Author keywords

Critical group; Morse index; Resonance

Indexed keywords


EID: 0010601139     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6396     Document Type: Article
Times cited : (25)

References (14)
  • 1
    • 0000851112 scopus 로고
    • Nonlinear perturbations of linear eigenvalues problem at resonance
    • Landesman E. M., Lazer A. C. Nonlinear perturbations of linear eigenvalues problem at resonance. J. Math. Mech. 19:1970;609-623.
    • (1970) J. Math. Mech. , vol.19 , pp. 609-623
    • Landesman, E.M.1    Lazer, A.C.2
  • 2
    • 84972506447 scopus 로고
    • On a class of resonant problems at higher eigenvalues
    • Costa D. G., Silva E. A. On a class of resonant problems at higher eigenvalues. Differential Integral Equations. 8:1995;663-671.
    • (1995) Differential Integral Equations , vol.8 , pp. 663-671
    • Costa, D.G.1    Silva, E.A.2
  • 3
    • 38249001107 scopus 로고
    • Multiplicity results for semilinear elliptic problems at resonance and jumping nonlinearities
    • Hirano N., Nishimura T. Multiplicity results for semilinear elliptic problems at resonance and jumping nonlinearities. J. Math. Anal. Appl. 180:1993;566-586.
    • (1993) J. Math. Anal. Appl. , vol.180 , pp. 566-586
    • Hirano, N.1    Nishimura, T.2
  • 4
    • 0001410110 scopus 로고
    • Bounded resonance problems for semilinear elliptic equations
    • Schechter M. Bounded resonance problems for semilinear elliptic equations. Nonlinear Anal. 24:1995;1471-1482.
    • (1995) Nonlinear Anal. , vol.24 , pp. 1471-1482
    • Schechter, M.1
  • 5
    • 0000079977 scopus 로고
    • Linking theorems and applications to semilinear elliptic problems at resonance
    • Silva E. A. Linking theorems and applications to semilinear elliptic problems at resonance. Nonlinear Anal. 16:1991;455-477.
    • (1991) Nonlinear Anal. , vol.16 , pp. 455-477
    • Silva, E.A.1
  • 6
    • 0031077087 scopus 로고    scopus 로고
    • Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
    • Bartsch T., Li S. J. Critical point theory for asymptotically quadratic functionals and applications to problems with resonance. Nonlinear Anal. 28:1997;419-441.
    • (1997) Nonlinear Anal. , vol.28 , pp. 419-441
    • Bartsch, T.1    Li, S.J.2
  • 8
    • 0000142412 scopus 로고
    • Morse theory on Banach space with applications
    • Chang K. C. Morse theory on Banach space with applications. Chinese Ann. Math. Ser. B. 6:1983;381-399.
    • (1983) Chinese Ann. Math. Ser. B , vol.6 , pp. 381-399
    • Chang, K.C.1
  • 10
    • 0001381644 scopus 로고
    • On differentiable functions with isolated critical points
    • Gromoll D., Meyer W. On differentiable functions with isolated critical points. Topology. 8:1969;361-369.
    • (1969) Topology , vol.8 , pp. 361-369
    • Gromoll, D.1    Meyer, W.2
  • 11
    • 84972575887 scopus 로고
    • The Hampwile theorem for nonlinear eigenvalue
    • Schechter M. The Hampwile theorem for nonlinear eigenvalue. Duke Math. J. 59:1989;325-335.
    • (1989) Duke Math. J. , vol.59 , pp. 325-335
    • Schechter, M.1
  • 12
    • 0009179578 scopus 로고
    • Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity
    • Bartolo P., Benci V., Fortunato D. Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity. Nonlinear Anal. 7:1983;981-1012.
    • (1983) Nonlinear Anal. , vol.7 , pp. 981-1012
    • Bartolo, P.1    Benci, V.2    Fortunato, D.3
  • 13
    • 0000666755 scopus 로고
    • Un criterio de esistenza per i punti critici su varietà ilimitate
    • Cerami G. Un criterio de esistenza per i punti critici su varietà ilimitate. Rc. Ist. Lomb. Sci. Lett. 112:1978;332-336.
    • (1978) Rc. Ist. Lomb. Sci. Lett. , vol.112 , pp. 332-336
    • Cerami, G.1
  • 14
    • 0002945166 scopus 로고
    • Nontrivial critical points for asymptotically quadratic functions
    • Li S. J., Liu J. Q. Nontrivial critical points for asymptotically quadratic functions. J. Math. Anal. Appl. 165:1992;333-345.
    • (1992) J. Math. Anal. Appl. , vol.165 , pp. 333-345
    • Li, S.J.1    Liu, J.Q.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.