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Volumn 6, Issue 1, 1997, Pages 1-38

Construction of singular limits for a semilinear elliptic equation in dimension 2

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EID: 0010784968     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005260050080     Document Type: Article
Times cited : (216)

References (24)
  • 1
    • 0003872752 scopus 로고
    • Monge-Ampère equations, Springer-Verlag, New York
    • T. Aubin, Non linear analysis on manifolds. Monge-Ampère equations, Springer-Verlag, New York, 1983
    • (1983) Non Linear Analysis on Manifolds
    • Aubin, T.1
  • 2
    • 0003007474 scopus 로고
    • On a variational problem with lack of compactness: The topological effect of critical points at infinity
    • A. Bahri, Y. Li, O. Key, On a variational problem with lack of compactness: the topological effect of critical points at infinity. Calc Var. and PDE 3 (1995) no. 1, 67-93
    • (1995) Calc Var. and PDE , vol.3 , Issue.1 , pp. 67-93
    • Bahri, A.1    Li, Y.2    Key, O.3
  • 8
    • 0000247179 scopus 로고
    • Some problems in the theory of quasilinear equations
    • I. M. Gelfan, Some problems in the theory of quasilinear equations. Amer. Math. Soc. Transl. 920 29 (1963), 295-381
    • (1963) Amer. Math. Soc. Transl. , vol.920 , Issue.29 , pp. 295-381
    • Gelfan, I.M.1
  • 10
    • 85012280352 scopus 로고
    • Solutions of Ginzburg-Landau equations and critical points of the renormalized energy
    • F. H. Lin, Solutions of Ginzburg-Landau equations and critical points of the renormalized energy, Ann. Inst. H. Poincaré - Analyse Non Linéaire 12 (1995) no. 5, 599-622
    • (1995) Ann. Inst. H. Poincaré - Analyse Non Linéaire , vol.12 , Issue.5 , pp. 599-622
    • Lin, F.H.1
  • 12
    • 3142588439 scopus 로고    scopus 로고
    • Private communication
    • R. Mazzeo, Private communication
    • Mazzeo, R.1
  • 14
    • 0030526566 scopus 로고    scopus 로고
    • Moduli spaces of singular Yamabe metrics
    • R. Mazzeo, D. Pollack, K. Uhlenbeck, Moduli spaces of singular Yamabe metrics. J. Amer. Math. Soc. 9 (1996) no. 2, 303-344
    • (1996) J. Amer. Math. Soc. , vol.9 , Issue.2 , pp. 303-344
    • Mazzeo, R.1    Pollack, D.2    Uhlenbeck, K.3
  • 15
    • 84972528282 scopus 로고
    • Conformally flat metrics of constant positive scalar curvature on subdomains of the sphere
    • R. Mazzeo, N. Smale, Conformally flat metrics of constant positive scalar curvature on subdomains of the sphere. J. Diff. Geometry. 34 (1991), 581-621
    • (1991) J. Diff. Geometry. , vol.34 , pp. 581-621
    • Mazzeo, R.1    Smale, N.2
  • 16
    • 67649191004 scopus 로고
    • Variations d'un point de retournement par rapport au domaine
    • F. Mignot, F. Murat, J. P. Puel, Variations d'un point de retournement par rapport au domaine, Comm. P.D.E. 4 (1979), 1263-1297
    • (1979) Comm. P.D.E. , vol.4 , pp. 1263-1297
    • Mignot, F.1    Murat, F.2    Puel, J.P.3
  • 17
    • 0009049099 scopus 로고
    • A two-dimensional Dirichlet problem with an exponential nonlinearity
    • J. L. Moseley, A two-dimensional Dirichlet problem with an exponential nonlinearity, SIAM J. Math. Anal. 14 (1983), 934-946
    • (1983) SIAM J. Math. Anal. , vol.14 , pp. 934-946
    • Moseley, J.L.1
  • 18
    • 84974747888 scopus 로고
    • Asymptotic analysis for a two dimensional elliptic eigenvalue problem with exponentially dominated nonlinearity
    • K. Nagasaki, T. Suzuki, Asymptotic analysis for a two dimensional elliptic eigenvalue problem with exponentially dominated nonlinearity. Asymptotic Analysis. 3 (1990), 173-188
    • (1990) Asymptotic Analysis , vol.3 , pp. 173-188
    • Nagasaki, K.1    Suzuki, T.2
  • 19
    • 84990662413 scopus 로고
    • On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems
    • W. M. Ni, J. Wei, On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems, Comm Pure and Appl. Maths. 68 (1995), 731-768
    • (1995) Comm Pure and Appl. Maths. , vol.68 , pp. 731-768
    • Ni, W.M.1    Wei, J.2
  • 20
    • 0002944738 scopus 로고
    • The role of Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
    • O. Rey, The role of Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent, J. Func. Anal. 89 (1990), 1-52
    • (1990) J. Func. Anal. , vol.89 , pp. 1-52
    • Rey, O.1
  • 22
    • 0001525696 scopus 로고
    • Two dimensional Emden-Fowler equation with exponential nonlinearity
    • Birkäuser
    • T. Suzuki, Two dimensional Emden-Fowler equation with exponential nonlinearity. Nonlinear Diffusion Equations and their equilibrium states 3, Birkäuser (1992) 493-512
    • (1992) Nonlinear Diffusion Equations and Their Equilibrium States , vol.3 , pp. 493-512
    • Suzuki, T.1
  • 23
    • 84972553986 scopus 로고
    • Counterexample to a conjecture of H. Hopf
    • H. C. Wente, Counterexample to a conjecture of H. Hopf, Pacific J. Math. 121 (1986), 193-243
    • (1986) Pacific J. Math. , vol.121 , pp. 193-243
    • Wente, H.C.1
  • 24
    • 0001258666 scopus 로고
    • On the asymptotic solution of a partial differential equation with exponential nonlinearity
    • V. H. Weston, On the asymptotic solution of a partial differential equation with exponential nonlinearity, SIAM J. Math. Anal. 9 (1978), 1030-1053
    • (1978) SIAM J. Math. Anal. , vol.9 , pp. 1030-1053
    • Weston, V.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.