메뉴 건너뛰기




Volumn 3, Issue 3, 1996, Pages 345-361

On the Dirichlet problem for the nonlinear wave equation in bounded domains with corner points

Author keywords

Bounded domains with corner points; Coincidence topological degree; Wave equation; Winding number

Indexed keywords


EID: 0030136480     PISSN: 13701444     EISSN: None     Source Type: Journal    
DOI: 10.36045/bbms/1105554391     Document Type: Article
Times cited : (9)

References (17)
  • 1
    • 0001563645 scopus 로고
    • Saddle points and multiple solutions of differential equations
    • H. AMANN, Saddle points and multiple solutions of differential equations, Math. Z. 109 (1979), 127-166.
    • (1979) Math. Z. , vol.109 , pp. 127-166
    • Amann, H.1
  • 2
    • 0001610064 scopus 로고
    • The periodic-Dirichlet problem for some semilinear wave equations
    • A. K. BEN-NAOUM and J. MAWHIN, The periodic-Dirichlet problem for some semilinear wave equations, J. Differential Equations, vol 96 2 (1992) 340-354.
    • (1992) J. Differential Equations , vol.96 , Issue.2 , pp. 340-354
    • Ben-Naoum, A.K.1    Mawhin, J.2
  • 3
    • 0011368595 scopus 로고
    • Periodic solutions of semilinear wave equations on balls and on spheres
    • A. K. BEN-NAOUM and J. MAWHIN, Periodic solutions of semilinear wave equations on balls and on spheres, Topological Meth. in Nonlinear Analysis, Vol. 1 (1993) 113-137.
    • (1993) Topological Meth. in Nonlinear Analysis , vol.1 , pp. 113-137
    • Ben-Naoum, A.K.1    Mawhin, J.2
  • 4
    • 0000691408 scopus 로고
    • Periodic solutions of a nonlinear wave equation without assumption of monotonicity
    • J. M. CORON, Periodic solutions of a nonlinear wave equation without assumption of monotonicity, Math. Ann. (262), (1983) 273-285.
    • (1983) Math. Ann. , Issue.262 , pp. 273-285
    • Coron, J.M.1
  • 5
    • 0011373483 scopus 로고
    • On the solvability of the Dirichlet problem for the equation of the vibrating string
    • 04
    • M. V. FOKIN, On the solvability of the Dirichlet problem for the equation of the vibrating string, Dokl. Akad. Nauk. SSSR. 272 (1983) No4, 801-805; English transl. in Soviet Math. Dokl. 28 (1983) No2, 455-459.
    • (1983) Dokl. Akad. Nauk. SSSR , vol.272 , pp. 801-805
    • Fokin, M.V.1
  • 7
    • 0003225449 scopus 로고
    • Coincidence degree and nonlinear differential equations
    • Springer-Verlag, Berlin
    • R.E. GAINES and J. MAWHIN, Coincidence degree and nonlinear differential equations, Lectures Notes in Math., 586, Springer-Verlag, Berlin, (1977).
    • (1977) Lectures Notes in Math. , vol.586
    • Gaines, R.E.1    Mawhin, J.2
  • 8
    • 0001510680 scopus 로고
    • The Dirichlet problem for a hyperbolic equation
    • No1
    • F. JOHN, The Dirichlet problem for a hyperbolic equation, Amer. Journal of Math. 63 (1941), No1, 141-145.
    • (1941) Amer. Journal of Math. , vol.63 , pp. 141-145
    • John, F.1
  • 9
    • 0011323093 scopus 로고
    • On the Dirichlet problem for the nonlinear equation of the vibrating string. I
    • A. A. LYASHENKO, On the Dirichlet problem for the nonlinear equation of the vibrating string. I, J. Math. Kyoto Univ. (JMKYAZ) 33-2 (1993) 543-570.
    • (1993) J. Math. Kyoto Univ. (JMKYAZ) , vol.33 , Issue.2 , pp. 543-570
    • Lyashenko, A.A.1
  • 11
    • 0003295303 scopus 로고
    • Topological degree methods in nonlinear boundary value problems
    • 40, American Math. Soc., Providence
    • J. MAWHIN, Topological degree methods in nonlinear boundary value problems, CBMS Regional Conference series in Mathematics, no 40, American Math. Soc., Providence, (1979).
    • (1979) CBMS Regional Conference Series in Mathematics
    • Mawhin, J.1
  • 12
    • 0002293597 scopus 로고
    • Semilinear equations of gradient type in Hilbert spaces and applications to differential equations
    • (E. de Mottoni and L. Salvadori Eds), Academic Press, New York
    • J. MAWHIN, Semilinear equations of gradient type in Hilbert spaces and applications to differential equations in Nonlinear Differential Equations : Invariance, Stability, and Bifurcation (E. de Mottoni and L. Salvadori Eds), Academic Press, New York, (1981) 269-282.
    • (1981) Nonlinear Differential Equations : Invariance, Stability, and Bifurcation , pp. 269-282
    • Mawhin, J.1
  • 13
    • 0039479578 scopus 로고
    • Compacité, monotonie et convexité dans l'etude des problèmes semi-linéaires
    • No 19, Univ. de Sherbrooke
    • J. MAWHIN, Compacité, Monotonie et Convexité dans l'Etude des Problèmes Semi-linéaires, Séminaire d'analyse moderne, No 19, Univ. de Sherbrooke (1981).
    • (1981) Séminaire d'Analyse Moderne
    • Mawhin, J.1
  • 14
    • 0011278610 scopus 로고
    • Nonuniform nonresonance conditions in the periodic-Dirichlet problem for semilinear wave equations with jumping nonlinearities
    • J. MAWHIN and J. WARD, Nonuniform nonresonance conditions in the periodic-Dirichlet problem for semilinear wave equations with jumping nonlinearities, J. Nigerian Math. Soc. 3 (1984) 41-55.
    • (1984) J. Nigerian Math. Soc. , vol.3 , pp. 41-55
    • Mawhin, J.1    Ward, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.