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Volumn 287, Issue 1, 2003, Pages 61-74

Uniqueness results for semilinear polyharmonic boundary value problems on conformally contractible domains. I

Author keywords

Conformally contractible domains; Poho aev's identity; Polyharmonic operator; Uniqueness

Indexed keywords


EID: 0242593178     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00491-8     Document Type: Article
Times cited : (9)

References (9)
  • 1
    • 0008023702 scopus 로고    scopus 로고
    • Polyharmonische Dirichletprobleme: Positivität, kritische Exponenten und kritische Dimensionen
    • Habilitationsschrift, Universität Bayreuth
    • H.-Ch. Grunau, Polyharmonische Dirichletprobleme: Positivität, kritische Exponenten und kritische Dimensionen, Habilitationsschrift, Universität Bayreuth, 1996.
    • (1996)
    • Grunau, H.-Ch.1
  • 2
    • 0003317855 scopus 로고
    • Applications of Lie Groups to Differential Equations
    • 2nd ed., Springer-Verlag
    • P.J. Olver, Applications of Lie Groups to Differential Equations, in: Graduate Texts in Mathematics, Vol. 107, 2nd ed., Springer-Verlag, 1993.
    • (1993) Graduate Texts in Mathematics , vol.107
    • Olver, P.J.1
  • 3
    • 0000514956 scopus 로고
    • Eigenfunctions of the equation Δu + λf(u) = 0
    • English transl. in Dokl. Akad. Nauk SSSR 165 (1965) 33-36
    • S.I. Pohožaev, Eigenfunctions of the equation Δu + λf(u) = 0, Soviet Math. Dokl. 6 (1965) 1408-1411, English transl. in Dokl. Akad. Nauk SSSR 165 (1965) 33-36.
    • (1965) Soviet Math. Dokl. , vol.6 , pp. 1408-1411
    • Pohožaev, S.I.1
  • 4
  • 5
    • 33749246602 scopus 로고    scopus 로고
    • Uniqueness theorems for variational problems by the method of transformation groups
    • in preparation
    • W. Reichel, Uniqueness theorems for variational problems by the method of transformation groups, in preparation.
    • Reichel, W.1
  • 7
    • 0034628166 scopus 로고    scopus 로고
    • Non-existence results for semilinear elliptic systems via moving spheres
    • W. Reichel, H. Zou, Non-existence results for semilinear elliptic systems via moving spheres, J. Differential Equations 161 (2000).
    • (2000) J. Differential Equations , vol.161
    • Reichel, W.1    Zou, H.2
  • 8
    • 0000285007 scopus 로고
    • Variational identities and applications to differential systems
    • R.C.A.M. Van der Vorst, Variational identities and applications to differential systems, Arch. Rational Mech. Anal. 116 (1992) 375-398.
    • (1992) Arch. Rational Mech. Anal. , vol.116 , pp. 375-398
    • Van der Vorst, R.C.A.M.1
  • 9
    • 0036469793 scopus 로고    scopus 로고
    • Pohožaev's identity from a variational viewpoint
    • A. Wagner, Pohožaev's identity from a variational viewpoint, J. Math. Anal. Appl. 266 (2002) 149-159.
    • (2002) J. Math. Anal. Appl. , vol.266 , pp. 149-159
    • Wagner, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.