메뉴 건너뛰기




Volumn 76, Issue 2, 1998, Pages 427-452

The effect of the domain geometry in singular perturbation problems

(2)  Noussair, Ezzat S a   Yan, Shusen a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0002616111     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024611598000148     Document Type: Article
Times cited : (19)

References (13)
  • 1
    • 84990623267 scopus 로고
    • On a nonlinear elliptic equation involving critical Sobolev exponents
    • A. BAHRI and J. M. CORON, 'On a nonlinear elliptic equation involving critical Sobolev exponents', Comm. Pure Appl. Math. 41 (1988) 225-294.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 225-294
    • Bahri, A.1    Coron, J.M.2
  • 2
    • 0003007474 scopus 로고
    • On a variational problem with lack of compactness: The topological effect of the critical points at infinity
    • A. BAHRI, Y. LI, and O. REY, 'On a variational problem with lack of compactness: the topological effect of the critical points at infinity', Calc. Var. 3 (1995) 67-93.
    • (1995) Calc. Var. , vol.3 , pp. 67-93
    • Bahri, A.1    Li, Y.2    Rey, O.3
  • 3
    • 0002556198 scopus 로고
    • The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
    • V. BENCI and G. CERAMI, 'The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems', Arch. Rat. Mech. Anal. 114 (1991) 79-93.
    • (1991) Arch. Rat. Mech. Anal. , vol.114 , pp. 79-93
    • Benci, V.1    Cerami, G.2
  • 4
    • 0003160707 scopus 로고
    • The multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
    • V. BENCI and G. CERAMI, 'The multiple positive solutions of some elliptic problems via the Morse theory and the domain topology', Calc. Var. 2 (1994) 29-48.
    • (1994) Calc. Var. , vol.2 , pp. 29-48
    • Benci, V.1    Cerami, G.2
  • 5
    • 0001067029 scopus 로고    scopus 로고
    • On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems
    • D. CAO, E. N. DANCER, E. NOUSSAIR, and S. YAN, 'On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems', Discrete and Continuous Dynamical Systems 2 (1996) 221-236.
    • (1996) Discrete and Continuous Dynamical Systems , vol.2 , pp. 221-236
    • Cao, D.1    Dancer, E.N.2    Noussair, E.3    Yan, S.4
  • 6
    • 0001617997 scopus 로고
    • The effect of the domain shape on the number of positive solutions of certain nonlinear equations
    • E. N. DANCER, 'The effect of the domain shape on the number of positive solutions of certain nonlinear equations', J. Differential Equations 74 (1988) 120-156.
    • (1988) J. Differential Equations , vol.74 , pp. 120-156
    • Dancer, E.N.1
  • 7
    • 38249017009 scopus 로고
    • The effect of the domain shape on the number of positive solutions of certain nonlinear equations, II
    • E. N. DANCER, 'The effect of the domain shape on the number of positive solutions of certain nonlinear equations, II', J. Differential Equations 87 (1990) 316-339.
    • (1990) J. Differential Equations , vol.87 , pp. 316-339
    • Dancer, E.N.1
  • 8
    • 0038244483 scopus 로고
    • Uniqueness of solutions of a nonlinear elliptic equation involving critical exponent
    • L. GLANGETAS, 'Uniqueness of solutions of a nonlinear elliptic equation involving critical exponent', Nonlinear Anal. 20 (1993) 571-603.
    • (1993) Nonlinear Anal. , vol.20 , pp. 571-603
    • Glangetas, L.1
  • 9
    • 84971179248 scopus 로고
    • Locating the peaks of least energy solutions to a semilinear Neumann problem
    • W. M. NI and I. TAKAGI, 'Locating the peaks of least energy solutions to a semilinear Neumann problem', Duke Math. J. 70 (1992) 247-281.
    • (1992) Duke Math. J. , vol.70 , pp. 247-281
    • Ni, W.M.1    Takagi, I.2
  • 10
    • 84990662413 scopus 로고
    • On the location and profile of spike-layer solutions to singularly perturbed semilinear problems
    • W. M. NI and J. WEI, 'On the location and profile of spike-layer solutions to singularly perturbed semilinear problems', Comm. Pure Appl. Math. 48 (1995) 731-768.
    • (1995) Comm. Pure Appl. Math. , vol.48 , pp. 731-768
    • Ni, W.M.1    Wei, J.2
  • 11
    • 0002944738 scopus 로고
    • The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
    • O. REY, 'The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent', J. Funct. Anal. 89 (1990) 1-52.
    • (1990) J. Funct. Anal. , vol.89 , pp. 1-52
    • Rey, O.1
  • 12
    • 0030578649 scopus 로고    scopus 로고
    • On the construction of single-peaked solutions of a singularly perturbed semilinear Dirichlet Problem
    • J. WEI, 'On the construction of single-peaked solutions of a singularly perturbed semilinear Dirichlet Problem', J. Differential Equations 129 (1996) 315-333.
    • (1996) J. Differential Equations , vol.129 , pp. 315-333
    • Wei, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.