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Volumn 5, Issue 1-3, 2000, Pages 193-212

A uniqueness result for a semilinear elliptic equation in symmetric domains

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EID: 0000280076     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (45)

References (27)
  • 1
    • 21844495820 scopus 로고
    • Elementary proof for the uniqueness of positive radial solution of a quasilinear Dirichlet problem
    • Adimurthi and S.L. Yadava, Elementary proof for the uniqueness of positive radial solution of a quasilinear Dirichlet problem, Arch. Rat. Mech. Anal., 126 (1994), 219-229.
    • (1994) Arch. Rat. Mech. Anal. , vol.126 , pp. 219-229
    • Adimurthi1    Yadava, S.L.2
  • 2
    • 0002327136 scopus 로고
    • A note on the Sobolev inequality
    • G. Bianchi and H. Egnell, A note on the Sobolev inequality, J. Funct. Anal., 100 (1991), 18-24.
    • (1991) J. Funct. Anal. , vol.100 , pp. 18-24
    • Bianchi, G.1    Egnell, H.2
  • 3
    • 0001581738 scopus 로고
    • Asymptotics for elliptic equations involving critical growth, Partial differential equations and calculus of variations, vol I
    • Birkhauser Boston
    • H. Brezis and L.A. Peletier, Asymptotics for elliptic equations involving critical growth, Partial differential equations and calculus of variations, vol I. Prog. Nonlinear Diff. Eq. Appl., 1, Birkhauser, Boston (1989), 149-192.
    • (1989) Prog. Nonlinear Diff. Eq. Appl. , vol.1 , pp. 149-192
    • Brezis, H.1    Peletier, L.A.2
  • 4
    • 84990617031 scopus 로고
    • Asymptotic symmetry and local behavior of semilinear elliptic equations with critical growth
    • L. Caffarelli, B. Gidas, and J. Spruck, Asymptotic symmetry and local behavior of semilinear elliptic equations with critical growth, Comm. Pure Appl. Math., 42 (1989), 271-297.
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 271-297
    • Caffarelli, L.1    Gidas, B.2    Spruck, J.3
  • 5
    • 0040811684 scopus 로고    scopus 로고
    • A remark on the uniqueness of the positive solution for a semilinear elliptic equation
    • L. Damascelli, A remark on the uniqueness of the positive solution for a semilinear elliptic equation, Nonlin. Anal., TMA, 26 (1996), 211-216.
    • (1996) Nonlin. Anal. TMA , vol.26 , pp. 211-216
    • Damascelli, L.1
  • 6
    • 84894567131 scopus 로고    scopus 로고
    • Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle
    • H. Poincarè, Analyse Nonlinèaire to appear.
    • L. Damascelli, M. Grossi, and F. Pacella, Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle, Ann. Inst. H. Poincar'e, Analyse Nonlin'eaire, to appear.
    • Ann. Inst.
    • Damascelli, L.1    Grossi, M.2    Pacella, F.3
  • 7
    • 0002017520 scopus 로고
    • A priori estimates and existence of positive solutions of semilinear elliptic equations
    • D.G. De Figueiredo, P.L. Lions, and R.D. Nussbaum, A priori estimates and existence of positive solutions of semilinear elliptic equations, J. Math. Pures Appl., 61 (1982), 41-63.
    • (1982) J. Math. Pures Appl. , vol.61 , pp. 41-63
    • De Figueiredo, D.G.1    Lions, P.L.2    Nussbaum, R.D.3
  • 8
    • 0001617997 scopus 로고
    • The effect of domain shape on the number of positive solutions of certain nonlinear equations
    • E.N. Dancer, The effect of domain shape on the number of positive solutions of certain nonlinear equations, J. Diff. Eq., 74 (1988), 120-156.
    • (1988) J. Diff. Eq. , vol.74 , pp. 120-156
    • Dancer, E.N.1
  • 10
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • B. Gidas, W.M. Ni, and L. Nirenberg, Symmetry and related properties via the maximum principle, Comm. Math. Phys., 68 (1979), 209-243.
    • (1979) Comm. Math. Phys. , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, W.M.2    Nirenberg, L.3
  • 11
    • 84939873114 scopus 로고
    • A priori bounds for positive solutions of nonlinear elliptic equations
    • B. Gidas and J. Spruck, A priori bounds for positive solutions of nonlinear elliptic equations, Comm. Par. Diff. Eq., 6 (1981), 883-901.
    • (1981) Comm. Par. Diff. Eq. , vol.6 , pp. 883-901
    • Gidas, B.1    Spruck, J.2
  • 12
    • 0003549965 scopus 로고
    • Elliptic Partial Differential Equations of Second Order
    • Springer Verlag
    • D. Gilbarg and N. Trudinger, "Elliptic Partial Differential Equations of Second Order," Springer Verlag, (1983).
    • (1983)
    • Gilbarg, D.1    Trudinger, N.2
  • 13
    • 84903853123 scopus 로고
    • Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent, Ann. Inst. H. Poincar'e
    • Z.C. Han, Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent, Ann. Inst. H. Poincar'e, Analyse Nonlin' eaire, 8 (1991), 159-174.
    • (1991) Analyse Nonlin' eaire , vol.8 , pp. 159-174
    • Han, Z.C.1
  • 15
    • 84968468179 scopus 로고
    • A note on the topological degree at a critical point of mountain pass-type
    • H. Hofer, A note on the topological degree at a critical point of mountain pass-type, Proc. Amer. Mat. Soc., 90 (1984), 309-315.
    • (1984) Proc. Amer. Mat. Soc. , vol.90 , pp. 309-315
    • Hofer, H.1
  • 16
    • 34249974409 scopus 로고
    • N
    • M.K. Kwong, Uniqueness of positive solutions of Δu - u + up = 0 in RN, Arch. Rat. Mech. Anal., 105 (1989), 243-266.
    • (1989) Arch. Rat. Mech. Anal. , vol.105 , pp. 243-266
    • Kwong, M.K.1
  • 17
    • 0001675486 scopus 로고
    • Prescribing scalar curvature on Sn and related problems, Part I
    • Y.Y. Li, Prescribing scalar curvature on Sn and related problems, Part I, J. Diff. Eq., 120 (1995), 319-410.
    • (1995) J. Diff. Eq. , vol.120 , pp. 319-410
    • Li, Y.Y.1
  • 19
    • 0001294182 scopus 로고
    • The concentration-compactness principle in the calculus of variations. The limit case (Part 1 and Part 2)
    • 145-201
    • P.L. Lions, The concentration-compactness principle in the calculus of variations. The limit case (Part 1 and Part 2), Riv. Mat. Iberoamericana, 1 (1985), 145-201; 45-121.
    • (1985) Riv. Mat. Iberoamericana , vol.1 , pp. 45-121
    • Lions, P.L.1
  • 20
    • 84990576581 scopus 로고
    • Uniqueness and non-uniqueness for positive radial solutions of Δu + f(u r) = 0
    • W.N. Ni and R.D. Nussbaum, Uniqueness and non-uniqueness for positive radial solutions of Δu + f(u, r) = 0, Comm. Pure Appl. Math., 38 (1985), 67-108.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 67-108
    • Ni, W.N.1    Nussbaum, R.D.2
  • 21
    • 0000514956 scopus 로고
    • Eigenfunction of the equation Δu + f(u) = 0
    • S. Pohozaev, Eigenfunction of the equation Δu + f(u) = 0, Soviet Math. Dokl., 6 (1965), 1408-1411.
    • (1965) Soviet Math. Dokl. , vol.6 , pp. 1408-1411
    • Pohozaev, S.1
  • 22
    • 0002432857 scopus 로고
    • Proof of two conjectures of H. Brezis and L. A. Peletier
    • O. Rey, Proof of two conjectures of H. Brezis and L. A. Peletier, Man. Math., 65 (1989), 19-37.
    • (1989) Man. Math. , vol.65 , pp. 19-37
    • Rey, O.1
  • 23
    • 84972503037 scopus 로고
    • Uniqueness of solutions of nonlinear Dirichlet problems
    • P. N. Srikanth, Uniqueness of solutions of nonlinear Dirichlet problems, Diff. Int. Eq., 6 (1993), 663-670.
    • (1993) Diff. Int. Eq. , vol.6 , pp. 663-670
    • Srikanth, P.N.1
  • 24
    • 0001239209 scopus 로고
    • Differential Geometry: A symposium in Honor of Manfredo Do Carmo
    • H. B. Lawson and K. Teneblat, eds. Wiley, New York
    • R. Schoen, On the number of constant scalar curvature metrics in conformal class, "Differential Geometry: A symposium in Honor of Manfredo Do Carmo," H. B. Lawson and K. Teneblat, eds. (1991), Wiley, New York, 311-320.
    • (1991) On the number of constant scalar curvature metrics in conformal class , pp. 311-320
    • Schoen, R.1
  • 25
    • 84948495150 scopus 로고
    • p = 0 in a finite ball
    • p = 0 in a finite ball, Comm. Part. Diff. Eq., 17 (1992), 1141-1164.
    • (1992) Comm. Part. Diff. Eq. , vol.17 , pp. 1141-1164
    • Zhang, L.1


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