메뉴 건너뛰기




Volumn 24, Issue 1, 2005, Pages 47-81

Singular limits in Liouville-type equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 22544441115     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-004-0314-5     Document Type: Article
Times cited : (232)

References (36)
  • 1
    • 0003007474 scopus 로고
    • On a variational problem with lack of compactness: The topological effect of the critical points at infinity
    • Bahri, A., Li, Y.-Y., Rey, O.: On a variational problem with lack of compactness: the topological effect of the critical points at infinity. Calc. Var. 3, 67-93 (1995)
    • (1995) Calc. Var. , vol.3 , pp. 67-93
    • Bahri, A.1    Li, Y.-Y.2    Rey, O.3
  • 2
    • 0010784968 scopus 로고    scopus 로고
    • Construction of singular limits for a semilinear elliptic equation in dimension 2
    • Baraket, S., Pacard, F.: Construction of singular limits for a semilinear elliptic equation in dimension 2. Calc. Var. 6, 1-38 (1998)
    • (1998) Calc. Var. , vol.6 , pp. 1-38
    • Baraket, S.1    Pacard, F.2
  • 3
    • 0037057993 scopus 로고    scopus 로고
    • The Liouville equation with singular data: A concentration-compactness principle via a local representation formula
    • Bartolucci, D., Tarantello, G.: The Liouville equation with singular data: a concentration-compactness principle via a local representation formula. J. Differential Equations 185, 161-180 (2002)
    • (2002) J. Differential Equations , vol.185 , pp. 161-180
    • Bartolucci, D.1    Tarantello, G.2
  • 5
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
    • Brezis, H., Nirenberg, L.: Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Comm. Pure Appl. Math. 36, 437-47 (1983)
    • (1983) Comm. Pure Appl. Math. , vol.36 , pp. 437-447
    • Brezis, H.1    Nirenberg, L.2
  • 6
    • 21844506740 scopus 로고
    • Vortex condensation in the Chern-Simons Higgs model: An existence theorem
    • Caffarelli, L., Yang, Y.-S.: Vortex condensation in the Chern-Simons Higgs model: an existence theorem. Comm. Math. Phys. 168, 321-336 (1995)
    • (1995) Comm. Math. Phys. , vol.168 , pp. 321-336
    • Caffarelli, L.1    Yang, Y.-S.2
  • 7
    • 0001508926 scopus 로고
    • Further studies on Emden's and similar differential equations
    • Fowler, R.H.: Further studies on Emden's and similar differential equations. Quart. J. Math. 2, 259-288 (1931)
    • (1931) Quart. J. Math. , vol.2 , pp. 259-288
    • Fowler, R.H.1
  • 8
    • 0001296888 scopus 로고
    • A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description, i & II
    • Caglioti, E., Lions, P.L., Marchioro, C., Pulvirenti, M.: A special class of stationary flows for two-dimensional Euler equations: a statistical mechanics description, I & II. Comm. Math. Phys. 143, 501-525 (1992) &
    • (1992) Comm. Math. Phys. , vol.143 , pp. 501-525
    • Caglioti, E.1    Lions, P.L.2    Marchioro, C.3    Pulvirenti, M.4
  • 9
    • 0012523604 scopus 로고
    • A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description, i & II
    • Caglioti, E., Lions, P.L., Marchioro, C., Pulvirenti, M.: A special class of stationary flows for two-dimensional Euler equations: a statistical mechanics description, I & II. Comm. Math. Phys. 174, 229-260 (1995)
    • (1995) Comm. Math. Phys. , vol.174 , pp. 229-260
    • Caglioti, E.1    Lions, P.L.2    Marchioro, C.3    Pulvirenti, M.4
  • 10
    • 0034336343 scopus 로고    scopus 로고
    • The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory
    • Chae, D., Imanuvilov, O.: The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory. Comm. Math. Phys. 215, 119-142 (2000)
    • (2000) Comm. Math. Phys. , vol.215 , pp. 119-142
    • Chae, D.1    Imanuvilov, O.2
  • 12
    • 0016643640 scopus 로고
    • Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
    • Crandall, M., Rabinowitz, P.H.: Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Arch. Rational Mech. Anal. 58, 207-218 (1975)
    • (1975) Arch. Rational Mech. Anal. , vol.58 , pp. 207-218
    • Crandall, M.1    Rabinowitz, P.H.2
  • 14
    • 34250074537 scopus 로고
    • The scalar curvature equation on 2- And 3-spheres
    • Chang, S.-Y, Gursky, M., Yang, P.: The scalar curvature equation on 2- and 3-spheres. Calc. Var. 1, 205-229 (1993)
    • (1993) Calc. Var. , vol.1 , pp. 205-229
    • Chang, S.-Y.1    Gursky, M.2    Yang, P.3
  • 15
    • 21344493912 scopus 로고
    • Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry
    • Chanillo, S., Kiessling, M.: Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry. Comm. Math. Phys. 160, 217-238 (1994)
    • (1994) Comm. Math. Phys. , vol.160 , pp. 217-238
    • Chanillo, S.1    Kiessling, M.2
  • 16
    • 2442611944 scopus 로고    scopus 로고
    • Topological degree for a mean field equation on Riemann surfaces
    • Chen, C.-C., Lin, C.-S.: Topological degree for a mean field equation on Riemann surfaces. Comm. Pure Appl. Math. 56, 1667-1727 (2003)
    • (2003) Comm. Pure Appl. Math. , vol.56 , pp. 1667-1727
    • Chen, C.-C.1    Lin, C.-S.2
  • 17
    • 0031237479 scopus 로고    scopus 로고
    • Semi-classical states for nonlinear Schrödinger equations
    • del Pino, M., Felmer, P.: Semi-classical states for nonlinear Schrödinger equations. J. Funct. Anal. 149, 245-265 (1997)
    • (1997) J. Funct. Anal. , vol.149 , pp. 245-265
    • Del Pino, M.1    Felmer, P.2
  • 18
    • 0038306934 scopus 로고    scopus 로고
    • Two-bubble solutions in the super-critical Bahri-Coron's problem
    • del Pino, M., Felmer, P., Musso, M.: Two-bubble solutions in the super-critical Bahri-Coron's problem. Calc. Var. 16, 113-145 (2003)
    • (2003) Calc. Var. , vol.16 , pp. 113-145
    • Del Pino, M.1    Felmer, P.2    Musso, M.3
  • 19
    • 0042854704 scopus 로고    scopus 로고
    • "Bubble-tower" radial solutions in the slightly supercritical Brezis-Nirenberg problem
    • del Pino, M., Dolbeault, J., Musso, M.: "Bubble-tower" radial solutions in the slightly supercritical Brezis-Nirenberg problem. J. Differential Equations 193, 280-306 (2003)
    • (2003) J. Differential Equations , vol.193 , pp. 280-306
    • Del Pino, M.1    Dolbeault, J.2    Musso, M.3
  • 22
    • 0000247179 scopus 로고
    • Some problems in the theory of quasilinear equations
    • Gelfand, I.M.: Some problems in the theory of quasilinear equations. Amer. Math. Soc. Transl. 29, 295-381 (1963)
    • (1963) Amer. Math. Soc. Transl. , vol.29 , pp. 295-381
    • Gelfand, I.M.1
  • 23
    • 0015557517 scopus 로고
    • Quasilinear problems driven by positive sources
    • Joseph, D.D., Lundgren, T.S.: Quasilinear problems driven by positive sources. Arch. Rat. Mech. Anal. 49, 241-269 (1973)
    • (1973) Arch. Rat. Mech. Anal. , vol.49 , pp. 241-269
    • Joseph, D.D.1    Lundgren, T.S.2
  • 24
    • 0000049367 scopus 로고
    • Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures
    • Kazdan, J., Warner, F.: Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures. Ann. Math. 101, 317-331 (1975)
    • (1975) Ann. Math. , vol.101 , pp. 317-331
    • Kazdan, J.1    Warner, F.2
  • 28
    • 0040434832 scopus 로고    scopus 로고
    • Convergence for a Liouville equation
    • Ma, L., Wei, J.: Convergence for a Liouville equation. Comment. Math. Helv. 76, 506-514 (2001)
    • (2001) Comment. Math. Helv. , vol.76 , pp. 506-514
    • Ma, L.1    Wei, J.2
  • 29
    • 67649191004 scopus 로고
    • Variation d'un point de retournement par rapport au domaine
    • Mignot, F., Murat, F., Fuel, J.: Variation d'un point de retournement par rapport au domaine. Comm. Partial Differential Equations 4, 1263-1297 (1979)
    • (1979) Comm. Partial Differential Equations , vol.4 , pp. 1263-1297
    • Mignot, F.1    Murat, F.2    Fuel, J.3
  • 30
    • 84974747888 scopus 로고
    • Asymptotic analysis for two-dimensional elliptic eigenvalue problems with exponentially dominated nonlinearities
    • Nagasaki, K., Suzuki, T.: Asymptotic analysis for two-dimensional elliptic eigenvalue problems with exponentially dominated nonlinearities. Asymptotic Anal. 3, 173-188 (1990)
    • (1990) Asymptotic Anal. , vol.3 , pp. 173-188
    • Nagasaki, K.1    Suzuki, T.2
  • 32
    • 0001525696 scopus 로고
    • Two-dimensional Emden-Fowler equation with exponential nonlinearity. Nonlinear diffusion equations and their equilibrium states
    • 3 (Gregynog, 1989), Birkhäuser Boston, Boston, MA
    • Suzuki, T.: Two-dimensional Emden-Fowler equation with exponential nonlinearity. Nonlinear diffusion equations and their equilibrium states, 3 (Gregynog, 1989), pp. 493-512. Progr. Nonlinear Differential Equations Appl. 7. Birkhäuser Boston, Boston, MA 1992
    • (1992) Progr. Nonlinear Differential Equations Appl. , vol.7 , pp. 493-512
    • Suzuki, T.1
  • 33
    • 0002944738 scopus 로고
    • The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
    • Rey, O.: The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent J. Funct. Anal. 89, 1-52 (1990)
    • (1990) J. Funct. Anal. , vol.89 , pp. 1-52
    • Rey, O.1
  • 35
    • 0001258666 scopus 로고
    • On the asymptotic solution of a partial differential equation with an exponential nonlinearity
    • Weston, V.H.: On the asymptotic solution of a partial differential equation with an exponential nonlinearity. SIAM J. Math. Anal. 9, 1030-1053 (1978)
    • (1978) SIAM J. Math. Anal. , vol.9 , pp. 1030-1053
    • Weston, V.H.1
  • 36
    • 0347117465 scopus 로고    scopus 로고
    • A generalized two dimensional Emden-Fowler equation with exponential nonlinearity
    • Ye, D., Zhou, F.: A generalized two dimensional Emden-Fowler equation with exponential nonlinearity. Calc. Var. 13, 141-158 (2001)
    • (2001) Calc. Var. , vol.13 , pp. 141-158
    • Ye, D.1    Zhou, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.