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Volumn 135, Issue 1, 2005, Pages 25-37

Multiplicity of non-radial solutions of critical elliptic problems in an annulus

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EID: 14644420308     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500003747     Document Type: Article
Times cited : (7)

References (19)
  • 1
    • 0012759585 scopus 로고    scopus 로고
    • Nonlinear perturbations of a periodic elliptic problem with critical growth
    • C. O. Alves, P. C. Carrião and O. H. Miyagaki. Nonlinear perturbations of a periodic elliptic problem with critical growth. J. Math. Analysis Applic. 260 (2001), 133-146.
    • (2001) J. Math. Analysis Applic. , vol.260 , pp. 133-146
    • Alves, C.O.1    Carrião, P.C.2    Miyagaki, O.H.3
  • 2
    • 0002755421 scopus 로고
    • On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent
    • G. Bianchi, J. Chabrowski and A. Szulkin. On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent. Nonlin. Analysis 25 (1995), 41-59.
    • (1995) Nonlin. Analysis , vol.25 , pp. 41-59
    • Bianchi, G.1    Chabrowski, J.2    Szulkin, A.3
  • 3
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
    • H. Brezis and L. Nirenberg. Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Commun. Pure Appl. Math. 36 (1983), 437-477.
    • (1983) Commun. Pure Appl. Math. , vol.36 , pp. 437-477
    • Brezis, H.1    Nirenberg, L.2
  • 4
    • 0033587466 scopus 로고    scopus 로고
    • Nonlinear elliptic equations on expanding symmetric domains
    • F. Catrina and Z. Q. Wang. Nonlinear elliptic equations on expanding symmetric domains. J. Diff. Eqns 156 (1999), 153-181.
    • (1999) J. Diff. Eqns , vol.156 , pp. 153-181
    • Catrina, F.1    Wang, Z.Q.2
  • 5
    • 0000919109 scopus 로고
    • A non-linear boundary value problem with many positive solutions
    • C. Coffman. A non-linear boundary value problem with many positive solutions. J. Diff. Eqns 54 (1984), 429-437.
    • (1984) J. Diff. Eqns , vol.54 , pp. 429-437
    • Coffman, C.1
  • 6
    • 0001511734 scopus 로고    scopus 로고
    • On some nonlinear equations involving the p-Laplacian with critical Sobolev growth
    • F. Demengel and E. Hebey. On some nonlinear equations involving the p-Laplacian with critical Sobolev growth. Adv. Diff. Eqns 3 (1998), 533-574.
    • (1998) Adv. Diff. Eqns , vol.3 , pp. 533-574
    • Demengel, F.1    Hebey, E.2
  • 7
    • 34250124360 scopus 로고
    • On the existence of positive entire solutions of a semi linear elliptic equation
    • W. Y. Ding and W. M. Ni. On the existence of positive entire solutions of a semi linear elliptic equation. Arch. Ration. Mech. Analysis 91 (1986), 283-308.
    • (1986) Arch. Ration. Mech. Analysis , vol.91 , pp. 283-308
    • Ding, W.Y.1    Ni, W.M.2
  • 8
    • 84968483586 scopus 로고
    • Multiplicity of solutions for elliptic problems with critical exponents with a non symmetric term
    • J. Garcia Azorero and I. Peral Alonso. Multiplicity of solutions for elliptic problems with critical exponents with a non symmetric term. Trans. Am. Math. Soc. 323 (1991), 877-895.
    • (1991) Trans. Am. Math. Soc. , vol.323 , pp. 877-895
    • Azorero, J.G.1    Alonso, I.P.2
  • 9
    • 34250271532 scopus 로고
    • Symmetric and related proprieties via the maximum principle
    • B. Gidas, W. N. Ni and L. Nirenberg. Symmetric and related proprieties via the maximum principle. Commun. Math. Phys. 68 (1979), 209-243.
    • (1979) Commun. Math. Phys. , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, W.N.2    Nirenberg, L.3
  • 11
    • 38249019737 scopus 로고
    • Existence of many positive solutions of semi linear elliptic equations on annulus
    • Y. Y. Li. Existence of many positive solutions of semi linear elliptic equations on annulus. J. Diff. Eqns 83 (1990), 348-367.
    • (1990) J. Diff. Eqns , vol.83 , pp. 348-367
    • Li, Y.Y.1
  • 12
    • 0000470308 scopus 로고
    • Asymptotic behavior of positive solutions to semi linear elliptic equations on expanding annuli
    • S. S. Lin. Asymptotic behavior of positive solutions to semi linear elliptic equations on expanding annuli. J. Diff. Eqns 120 (1995), 255-288.
    • (1995) J. Diff. Eqns , vol.120 , pp. 255-288
    • Lin, S.S.1
  • 13
    • 0000296501 scopus 로고
    • Symmétrie et compacité dans les espaces de Sobolev
    • P. L. Lions. Symmétrie et compacité dans les espaces de Sobolev. J. Funct. Analysis 49 (1982), 315-334.
    • (1982) J. Funct. Analysis , vol.49 , pp. 315-334
    • Lions, P.L.1
  • 14
    • 0001294182 scopus 로고
    • The concentration compactness principle in the calculus of variations. The limit case. Part 2
    • P. L. Lions. The concentration compactness principle in the calculus of variations. The limit case. Part 2. Rev. Mat. Ibero. 1 (1985), 45-121.
    • (1985) Rev. Mat. Ibero. , vol.1 , pp. 45-121
    • Lions, P.L.1
  • 15
    • 0002783768 scopus 로고
    • The principle of symmetric criticality
    • R. S. Palais. The principle of symmetric criticality. Commun. Math. Phys. 69 (1979), 19-30.
    • (1979) Commun. Math. Phys. , vol.69 , pp. 19-30
    • Palais, R.S.1
  • 16
    • 0005869851 scopus 로고    scopus 로고
    • Positive solutions for semi linear elliptic equations on expanding annulus: Mountain-pass approach
    • T. Suzuki. Positive solutions for semi linear elliptic equations on expanding annulus: mountain-pass approach. Funkcial. Ekvac. 39 (1996), 143-164.
    • (1996) Funkcial. Ekvac. , vol.39 , pp. 143-164
    • Suzuki, T.1
  • 17
    • 34250392866 scopus 로고
    • Best constants in Sobolev inequality
    • G. Talenti. Best constants in Sobolev inequality. Annli Mat. Pura Appl. 110 (1976), 353-372.
    • (1976) Annli Mat. Pura Appl. , vol.110 , pp. 353-372
    • Talenti, G.1
  • 18
    • 0348090560 scopus 로고    scopus 로고
    • Existence of many positive solutions of semi linear elliptic equations on an annulus
    • Z. Q. Wang and M. Willem. Existence of many positive solutions of semi linear elliptic equations on an annulus. Proc. Am. Math. Soc. 127 (1999), 1711-1714.
    • (1999) Proc. Am. Math. Soc. , vol.127 , pp. 1711-1714
    • Wang, Z.Q.1    Willem, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.