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Volumn 16, Issue 4, 1996, Pages 399-404

On a conjecture of p. pucci and j. serrin

(1)  Grunau, Hans Christoph a  

a NONE

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EID: 0042299884     PISSN: 01744747     EISSN: 21966753     Source Type: Journal    
DOI: 10.1524/anly.1996.16.4.399     Document Type: Article
Times cited : (21)

References (12)
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  • 2
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  • 3
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    • T. Boggio, Sulle funzioni di Green d'ordine m, Rend. Circ. Mat. Palermo 20, 97–135 (1905).
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    • Boggio, T.1
  • 4
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
    • H. Brezis, L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Commun. Pure Appl. Math. 36, 437–477 (1983).
    • (1983) Commun. Pure Appl. Math. , vol.36 , pp. 437-477
    • Brezis, H.1    Nirenberg, L.2
  • 5
    • 0000454829 scopus 로고
    • Critical exponents, critical dimensions and the biharmonic operator
    • D.E. Edmunds, D. Fortunato, E. Jannelli, Critical exponents, critical dimensions and the biharmonic operator, Arch. Rational Mech. Anal. 112, 269–289 (1990).
    • (1990) Arch. Rational Mech. Anal. , vol.112 , pp. 269-289
    • Edmunds, D.E.1    Fortunato, D.2    Jannelli, E.3
  • 6
    • 0037721541 scopus 로고
    • Positive solutions to semilinear polyharmonic Dirichlet problems involving critical Sobolev exponents
    • H. Ch. Grunau, Positive solutions to semilinear polyharmonic Dirichlet problems involving critical Sobolev exponents, Calc. Var. 3, 243–252 (1995).
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    • Grunau, H.C.1
  • 7
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    • Critical exponents and multiple critical dimensions for polyharmonic operators. II
    • H. Ch. Grunau, Critical exponents and multiple critical dimensions for polyharmonic operators. II, Boll. Unione Mat. Ital. (7) 9-B, 815–847 (1995).
    • (1995) Boll. Unione Mat. Ital. , vol.7 , Issue.9-B , pp. 815-847
    • Grunau, H.C.1
  • 9
    • 0000514956 scopus 로고
    • Eigenfunctions of the equation DLu + LDf(u) = 0
    • S.I. Pohozaev, Eigenfunctions of the equation DLu + LDf(u) = 0, Soviet Math. Dokl. 6, 1408–1411 (1965).
    • (1965) Soviet Math. Dokl. , vol.6 , pp. 1408-1411
    • Pohozaev, S.I.1
  • 10
    • 0001648137 scopus 로고
    • A general variational identity
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    • P. Pucci, J. Serrin, Critical exponents and critical dimensions for polyharmonic operators, J. Math. Pures Appl. 69, 55–83 (1990).
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    • Pucci, P.1    Serrin, J.2
  • 12
    • 0012284366 scopus 로고
    • A priori estimates and existence of positive solutions of a superlinear polyharmonic equation
    • R. Soranzo, A priori estimates and existence of positive solutions of a superlinear polyharmonic equation, Dyn. Syst. Appl. 3, 465–487 (1994).
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    • Soranzo, R.1


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