메뉴 건너뛰기




Volumn 49, Issue 1, 2000, Pages 177-219

Behavior of positive solutions to △gu = uq + Su with prescribed singularities

Author keywords

Asymptotic behavior; Semilinear elliptic equations; Singular solutions; Singular Yamabe problem

Indexed keywords


EID: 0040782504     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (30)
  • 1
    • 0039001258 scopus 로고
    • A study of the singularities of solutions of a class of nonlinear elliptic partial differential equations
    • P. AVILES, A study of the singularities of solutions of a class of nonlinear elliptic partial differential equations, Comm. PDE 7 (1982), 609-643.
    • (1982) Comm. PDE , vol.7 , pp. 609-643
    • Aviles, P.1
  • 2
    • 84972505073 scopus 로고
    • Conformal deformation to constant negative scalar curvature in complete Riemannian manifolds
    • P. AVILES & R. McOWEN, Conformal deformation to constant negative scalar curvature in complete Riemannian manifolds, J. Diff. Geom. 27 (1988), 225-238.
    • (1988) J. Diff. Geom. , vol.27 , pp. 225-238
    • Aviles, P.1    McOwen, R.2
  • 3
    • 84972547963 scopus 로고
    • Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds
    • _, Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds, Duke Math. J. 56 (1988), 395-397.
    • (1988) Duke Math. J. , vol.56 , pp. 395-397
  • 4
    • 51249162198 scopus 로고
    • Large solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behavior
    • C. BANDLE & M. MARCUS, Large solutions of semilinear elliptic equations: existence, uniqueness and asymptotic behavior, Jour. d'Anal. Math. 58 (1992), 9-24.
    • (1992) Jour. d'Anal. Math. , vol.58 , pp. 9-24
    • Bandle, C.1    Marcus, M.2
  • 5
    • 85012300552 scopus 로고
    • Asymptotic behavior of solutions and their derivatives for semilinear elliptic problems with blowup on the boundary
    • _, Asymptotic behavior of solutions and their derivatives for semilinear elliptic problems with blowup on the boundary, Ann. Inst. H. Poincaré Anal. Non Linéaire 12(1995), 155-171.
    • (1995) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.12 , pp. 155-171
  • 6
    • 0000269824 scopus 로고
    • Singularités éliminables pour des équations semi-linéaires
    • P. BARAS & M. PIERRE, Singularités éliminables pour des équations semi-linéaires, Ann. Inst. Fourier, Grenoble 34 (1984), 185-206.
    • (1984) Ann. Inst. Fourier, Grenoble , vol.34 , pp. 185-206
    • Baras, P.1    Pierre, M.2
  • 7
    • 0040133747 scopus 로고
    • Generalized stenographic projections with prescribed scalar curvature
    • V. Oliker & A. Treibergs, eds., MS
    • P. DELANO, Generalized stenographic projections with prescribed scalar curvature, Contemporary Mathematics: Geometry, Physics, and Nonlinear PDEs (V. Oliker & A. Treibergs, eds.), MS, 1990.
    • (1990) Contemporary Mathematics: Geometry, Physics, and Nonlinear PDEs
    • Delano, P.1
  • 8
    • 0001886826 scopus 로고
    • q + su singular at submanifolds with boundary
    • q + Su singular at submanifolds with boundary, Indiana Univ. Math. J. 43 (1994), 1359-1397.
    • (1994) Indiana Univ. Math. J. , vol.43 , pp. 1359-1397
    • Finn, D.1
  • 9
    • 84875554308 scopus 로고    scopus 로고
    • On the negative case of the singular Yamabe problem
    • to appear
    • _, On the negative case of the singular Yamabe problem, to appear, Journal of Geometric Analysis.
    • Journal of Geometric Analysis
  • 10
    • 85078375013 scopus 로고    scopus 로고
    • q + Su with prescribed singularities and their geometric implications
    • q + Su with prescribed singularities and their geometric implications, Comm. Partial Differential Equations 23 (1998), 1795-1814.
    • (1998) Comm. Partial Differential Equations , vol.23 , pp. 1795-1814
  • 15
    • 0031280884 scopus 로고    scopus 로고
    • Solutins of nonlinear elliptic equations which are singular on a submanifold
    • M. GRILLOT, Solutins of nonlinear elliptic equations which are singular on a submanifold, J. Math. Pures Appl. 76 (1997), 757-776.
    • (1997) J. Math. Pures Appl. , vol.76 , pp. 757-776
    • Grillot, M.1
  • 17
    • 0003058347 scopus 로고
    • Partial differential equations invariant under conformal or projective transformations
    • Academic Press
    • C. LOEWNER & L. NIRENBERG, Partial differential equations invariant under conformal or projective transformations, Contributions to Analysis, Academic Press, 1975, pp. 245-275.
    • (1975) Contributions to Analysis , pp. 245-275
    • Loewner, C.1    Nirenberg, L.2
  • 18
    • 0006731289 scopus 로고    scopus 로고
    • The Laplacian on complete manifolds with warped cylindrical ends
    • X. MA & R. McOWEN, The Laplacian on complete manifolds with warped cylindrical ends, Comm. Partial Differential Equations 16, 1583-1615.
    • Comm. Partial Differential Equations , vol.16 , pp. 1583-1615
    • Ma, X.1    Mcowen, R.2
  • 19
    • 0000787062 scopus 로고    scopus 로고
    • Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations
    • M. MARCUS & L. VERON, Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations, Annales de l'Institut Henri Poincaré-Analysis non linéaire, 14 (1997), 237-274.
    • (1997) Annales de l'Institut Henri Poincaré-Analysis Non Linéaire , vol.14 , pp. 237-274
    • Marcus, M.1    Veron, L.2
  • 20
    • 0000900395 scopus 로고
    • Regularity for the singular Yamabe problem
    • R. MAZZEO, Regularity for the singular Yamabe problem, Indiana Univ. Math. J. 40 (1991), 1227-1299.
    • (1991) Indiana Univ. Math. J. , vol.40 , pp. 1227-1299
    • Mazzeo, R.1
  • 21
    • 0001762459 scopus 로고    scopus 로고
    • A new construction of singular solutions for a semilinear equation using asymptotic analysis
    • R. MAZZEO & F. PACARD, A new construction of singular solutions for a semilinear equation using asymptotic analysis, J. Diff. Geom. 44 (1996), 331-370.
    • (1996) J. Diff. Geom. , vol.44 , pp. 331-370
    • Mazzeo, R.1    Pacard, F.2
  • 24
    • 0041980279 scopus 로고
    • Singularities and the conformal scalar curvature equation, geometric
    • Marcel I. Bakelma, eds., Dekker
    • R. McOWEN, Singularities and the conformal scalar curvature equation, Geometric Analysis and Nonlinear PDE (Marcel I. Bakelma, eds.), Dekker, 1992.
    • (1992) Analysis and Nonlinear PDE
    • Mcowen, R.1
  • 26
    • 0040727612 scopus 로고
    • Prescribing curvature on manifolds with nonpositive Yamabe invariant and singularities
    • J .J. TANG, Prescribing curvature on manifolds with nonpositive Yamabe invariant and singularities, Comm. Partial Differential Equations, 19 (1994), 701-718.
    • (1994) Comm. Partial Differential Equations , vol.19 , pp. 701-718
    • Tang, J.J.1
  • 27
    • 0001153532 scopus 로고
    • Isolated singularites of some semilinear elliptic equations
    • J. VAZQUEZ & L. VRON, Isolated singularites of some semilinear elliptic equations, J. Diff. Eq. 60 (1985), 301-321.
    • (1985) J. Diff. Eq. , vol.60 , pp. 301-321
    • Vazquez, J.1    Vron, L.2
  • 28
    • 0000227922 scopus 로고
    • Singular solutions of some nonlinear elliptic equations
    • _Singular solutions of some nonlinear elliptic equations, Nonlinear Anal. 5 (1981), 225-242.
    • (1981) Nonlinear Anal. , vol.5 , pp. 225-242
  • 29
    • 0002364594 scopus 로고
    • Singularités éliminables d'équations elliptiques non linéaires
    • _, Singularités éliminables d'équations elliptiques non linéaires, J. Diff. Eq. 41 (1981), 87-95.
    • (1981) J. Diff. Eq. , vol.41 , pp. 87-95
  • 30
    • 0010845924 scopus 로고
    • Weak and strong singularities of nonlinear elliptic equations
    • _, Weak and strong singularities of nonlinear elliptic equations, Proc. Symp. Pure Math. 45 (1986), 477-495.
    • (1986) Proc. Symp. Pure Math. , vol.45 , pp. 477-495


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.