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Volumn 8, Issue 3, 2001, Pages 323-341

Solutions of prescribed number of zeroes to a class of superlinear ODE's systems

Author keywords

Nehari method; ODE's systems; Oscillating solutions; Superlinear boundary value problems

Indexed keywords


EID: 0142135045     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001451     Document Type: Article
Times cited : (13)

References (15)
  • 1
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    • Dual variational methods in critical point theory and applications
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    • (1973) J. Funct. Anal. , vol.14 , pp. 349-381
    • Ambrosetti, A.1    Rabinowitz, P.H.2
  • 5
    • 0001641615 scopus 로고
    • On the existence of two solutions with a prescribed number of zeros for a superlinear two-point boundary value problem
    • A. CAPIETTO, J. MAWHIN, F. ZANOLIN, On the existence of two solutions with a prescribed number of zeros for a superlinear two-point boundary value problem, Topol. Meth. in Nonlin. Anal. 6 (1995), 175-188.
    • (1995) Topol. Meth. in Nonlin. Anal. , vol.6 , pp. 175-188
    • Capietto, A.1    Mawhin, J.2    Zanolin, F.3
  • 6
    • 3342925295 scopus 로고    scopus 로고
    • A minimax principle, index of critical point, and existence of sign changing solutions to elliptic boundary value problems
    • A. CASTRO, J. COSSIO, J.M. NEUBERGER, A minimax principle, index of critical point, and existence of sign changing solutions to elliptic boundary value problems, Electron. J. Differential Equations (1998), 18 pp.
    • (1998) Electron. J. Differential Equations , pp. 18
    • Castro, A.1    Cossio, J.2    Neuberger, J.M.3
  • 7
    • 84968480600 scopus 로고
    • Infinitely many radial solutions to a superlinear Dirichlet problem in a ball
    • A. CASTRO, A. KUREPA, Infinitely many radial solutions to a superlinear Dirichlet problem in a ball, Proc. Am. Math. Soc. 101 (1987), 57-64.
    • (1987) Proc. Am. Math. Soc. , vol.101 , pp. 57-64
    • Castro, A.1    Kurepa, A.2
  • 9
    • 34249773823 scopus 로고
    • Existence and multiplicity of solutions for semilinear elliptic systems
    • E.A. DE BARROS E SILVA, Existence and multiplicity of solutions for semilinear elliptic systems, NoDEA 1 (1994), 339-363.
    • (1994) NoDEA , vol.1 , pp. 339-363
    • De Barros E Silva, E.A.1
  • 10
    • 0001509567 scopus 로고
    • On steady state solutions of a system of reaction-diffusion equations from biology
    • A.C. LAZER, P.J. MCKENNA, On steady state solutions of a system of reaction-diffusion equations from biology, Nonlinear Anal. TMA 6 (1982), 523-530.
    • (1982) Nonlinear Anal. TMA , vol.6 , pp. 523-530
    • Lazer, A.C.1    Mckenna, P.J.2
  • 11
    • 51249193155 scopus 로고
    • Characteristic values associated with a class of nonlinear second order differential equations
    • Z. NEHARI, Characteristic values associated with a class of nonlinear second order differential equations, Acta Math. 105 (1961), 141-175.
    • (1961) Acta Math. , vol.105 , pp. 141-175
    • Nehari, Z.1
  • 12
    • 84879904964 scopus 로고
    • Some aspects of nonlinear eigenvalue problems, Rocky Mountain
    • P.H. RABINOWITZ, Some aspects of nonlinear eigenvalue problems, Rocky Mountain J. Math. 3 (1973), 161-202.
    • (1973) J. Math. , vol.3 , pp. 161-202
    • Rabinowitz, P.H.1
  • 13
    • 0346145681 scopus 로고
    • A survey of some superlinear problems, Nonlinear diffusion equations and their equilibrium states, 217-233
    • Springer, New York-Berlin
    • P.H. RABINOWITZ, A survey of some superlinear problems, Nonlinear diffusion equations and their equilibrium states, 217-233 Math. Sci. Res. Inst. Publ. 13 Springer, New York-Berlin, 1988.
    • (1988) Math. Sci. Res. Inst. Publ. , vol.13
    • Rabinowitz, P.H.1
  • 14
    • 0000538563 scopus 로고
    • Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems
    • M. STRUWE, Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems, Manus. Math. 32 (1980), 335-364.
    • (1980) Manus. Math. , vol.32 , pp. 335-364
    • Struwe, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.