메뉴 건너뛰기




Volumn 52, Issue 1, 2003, Pages 173-195

Existence of blowing-up solutions for a slightly subcritical or a slightly supercritical non-linear elliptic equation on ℝn

Author keywords

Blowing up solution; Critical Sobolev exponent

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 0037209586     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(02)00102-5     Document Type: Article
Times cited : (22)

References (20)
  • 1
    • 84972498579 scopus 로고
    • Problemes isoperimetriques et espaces de Sobolev
    • Aubin T. Problemes isoperimetriques et espaces de Sobolev. J. Differential Geom. 11:1976;573-598.
    • (1976) J. Differential Geom. , vol.11 , pp. 573-598
    • Aubin, T.1
  • 3
    • 0020591567 scopus 로고
    • Nonlinear scalar field equations I - Existence of a ground state
    • Berestycki H., Lions P.L. Nonlinear scalar field equations I - existence of a ground state. Arch. Rational Mech. Anal. 82:1983;313-375.
    • (1983) Arch. Rational Mech. Anal. , vol.82 , pp. 313-375
    • Berestycki, H.1    Lions, P.L.2
  • 4
    • 0001581738 scopus 로고
    • Asymptotics for elliptic equations involving critical growth
    • F. Colombini (Ed.), Birkhäuser, Basel
    • H. Brezis, L. Peletier, Asymptotics for elliptic equations involving critical growth, in: F. Colombini (Ed.), Partial Differential Equations and Calculus of Variations, Vol. 1, Birkhäuser, Basel, 1989, pp. 149-192.
    • (1989) Partial Differential Equations and Calculus of Variations , vol.1 , pp. 149-192
    • Brezis, H.1    Peletier, L.2
  • 6
    • 84990617031 scopus 로고
    • Asymptotic symmetry and local behaviour of semilinear elliptic equations with critical Sobolev growth
    • Caffarelli L., Gidas B., Spruck J. Asymptotic symmetry and local behaviour of semilinear elliptic equations with critical Sobolev 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
  • 9
    • 34250124360 scopus 로고
    • On the existence of positive entire solutions of a semilinear elliptic equation
    • Y. Ding W., Ni W.M. On the existence of positive entire solutions of a semilinear elliptic equation. Arch. Rational Mech. Anal. 91:1986;283-308.
    • (1986) Arch. Rational Mech. Anal. , vol.91 , pp. 283-308
    • Ding, W.Y.1    Ni, W.M.2
  • 10
    • 0001613187 scopus 로고
    • Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
    • Floer A., Weinstein A. Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential. J. Funct. Anal. 69:1986;397-408.
    • (1986) J. Funct. Anal. , vol.69 , pp. 397-408
    • Floer, A.1    Weinstein, A.2
  • 12
    • 84903853123 scopus 로고
    • Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
    • Han Z.C. Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent. Anal. Nonlinière. 8:1991;159-174.
    • (1991) Anal. Nonlinière , vol.8 , pp. 159-174
    • Han, Z.C.1
  • 13
    • 0001655260 scopus 로고
    • Some properties of fractional integrals
    • Hardy G., Littlewood J. Some properties of fractional integrals. Math. Z. 27:1928;565-606.
    • (1928) Math. Z. , vol.27 , pp. 565-606
    • Hardy, G.1    Littlewood, J.2
  • 14
    • 0000264842 scopus 로고    scopus 로고
    • On a singularly perturbed elliptic equation
    • Li Y.Y. On a singularly perturbed elliptic equation. Adv. Differential Equation. 2:1997;955-980.
    • (1997) Adv. Differential Equation , vol.2 , pp. 955-980
    • Li, Y.Y.1
  • 15
    • 84971179248 scopus 로고
    • Locating the peaks of least-energy solutions to a semilinear Neumann problem
    • Ni W.M., Takagi I. Locating the peaks of least-energy solutions to a semilinear Neumann problem. Duke Math. J. 70:1993;247-281.
    • (1993) Duke Math. J. , vol.70 , pp. 247-281
    • Ni, W.M.1    Takagi, I.2
  • 17
    • 0002432857 scopus 로고
    • Proof of two conjectures of H. Brezis and L.A. Peletier
    • Rey O. Proof of two conjectures of H. Brezis and L.A. Peletier. Manuscripta Math. 65:1989;19-37.
    • (1989) Manuscripta Math. , vol.65 , pp. 19-37
    • Rey, O.1
  • 18
    • 0001916279 scopus 로고
    • On a theorem of functional analysis
    • Sobolev S. On a theorem of functional analysis. AMS Transl. Series 2. 34:1963;39-68.
    • (1963) AMS Transl. Series 2 , vol.34 , pp. 39-68
    • Sobolev, S.1
  • 19
    • 34250392866 scopus 로고
    • Best constants in Sobolev inequality
    • Talenti G. Best constants in Sobolev inequality. Ann. Math. Pura Appl. 110:1976;353-372.
    • (1976) Ann. Math. Pura Appl. , vol.110 , pp. 353-372
    • Talenti, G.1
  • 20
    • 0030143878 scopus 로고    scopus 로고
    • N involving critical exponents
    • N involving critical exponents J. Differential Equation. 127:1996;148-173.
    • (1996) J. Differential Equation , vol.127 , pp. 148-173
    • Wang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.