메뉴 건너뛰기




Volumn 245, Issue 5, 2008, Pages 1198-1209

Uniqueness of radially symmetric positive solutions for - Δ u + u = up in an annulus

Author keywords

Non degeneracy; Non linear elliptic equation; Radially symmetric solutions

Indexed keywords


EID: 46449111994     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2008.06.006     Document Type: Article
Times cited : (32)

References (20)
  • 1
    • 0020591567 scopus 로고
    • Nonlinear scalar field equations I, Existence of a ground state
    • Berestycki H., and Lions P.L. Nonlinear scalar field equations I, Existence of a ground state. Arch. Ration. Mech. Anal. 82 (1983) 313-345
    • (1983) Arch. Ration. Mech. Anal. , vol.82 , pp. 313-345
    • Berestycki, H.1    Lions, P.L.2
  • 2
    • 21144474681 scopus 로고
    • A geometric proof of the Kwong-McLeod uniqueness result
    • Clemons C.B., and Jones C.K.R.T. A geometric proof of the Kwong-McLeod uniqueness result. SIAM J. Math. Anal. 24 (1993) 436-443
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 436-443
    • Clemons, C.B.1    Jones, C.K.R.T.2
  • 3
    • 0015249887 scopus 로고
    • 3 = 0 and a variational characterization of other solutions
    • 3 = 0 and a variational characterization of other solutions. Arch. Ration. Mech. Anal. 46 (1972) 81-95
    • (1972) Arch. Ration. Mech. Anal. , vol.46 , pp. 81-95
    • Coffman, C.V.1
  • 5
    • 0012856949 scopus 로고    scopus 로고
    • Uniqueness of positive radial solutions of Δ u + K (| x |) γ (u) = 0
    • Erbe L., and Tang M. Uniqueness of positive radial solutions of Δ u + K (| x |) γ (u) = 0. Differential Integral Equations 11 (1998) 663-678
    • (1998) Differential Integral Equations , vol.11 , pp. 663-678
    • Erbe, L.1    Tang, M.2
  • 6
    • 0012856949 scopus 로고    scopus 로고
    • Uniqueness of positive radial solutions of Δ u + f (| x |, u) = 0
    • Erbe L., and Tang M. Uniqueness of positive radial solutions of Δ u + f (| x |, u) = 0. Differential Integral Equations 11 (1998) 725-743
    • (1998) Differential Integral Equations , vol.11 , pp. 725-743
    • Erbe, L.1    Tang, M.2
  • 7
    • 35548935042 scopus 로고    scopus 로고
    • Thick clusters for the radially symmetric nonlinear Schrödinger equation
    • Felmer P., and Martínez S. Thick clusters for the radially symmetric nonlinear Schrödinger equation. Calc. Var. Partial Differential Equations 31 2 (2008) 231-261
    • (2008) Calc. Var. Partial Differential Equations , vol.31 , Issue.2 , pp. 231-261
    • Felmer, P.1    Martínez, S.2
  • 8
    • 84968468179 scopus 로고
    • A note on the topological degree at a critical point of mountain pass type
    • Hofer H. A note on the topological degree at a critical point of mountain pass type. Proc. Amer. Math. Soc. 90 (1984) 309-315
    • (1984) Proc. Amer. Math. Soc. , vol.90 , pp. 309-315
    • Hofer, H.1
  • 12
    • 84968486001 scopus 로고
    • Uniqueness of radial solutions of semilinear elliptic equations
    • Kwong M.K., and Li Y. Uniqueness of radial solutions of semilinear elliptic equations. Trans. Amer. Math. Soc. 333 (1992) 339-363
    • (1992) Trans. Amer. Math. Soc. , vol.333 , pp. 339-363
    • Kwong, M.K.1    Li, Y.2
  • 13
    • 84972508309 scopus 로고
    • Uniqueness of the positive solution of Δ u + f (u) = 0 in an annulus
    • Kwong M.K., and Zhang L. Uniqueness of the positive solution of Δ u + f (u) = 0 in an annulus. Differential Integral Equations 4 (1991) 583-599
    • (1991) Differential Integral Equations , vol.4 , pp. 583-599
    • Kwong, M.K.1    Zhang, L.2
  • 17
    • 0000540347 scopus 로고
    • Existence of solitary waves in higher dimensions
    • Strauss W. Existence of solitary waves in higher dimensions. Comm. Math. Phys. 55 (1977) 149-162
    • (1977) Comm. Math. Phys. , vol.55 , pp. 149-162
    • Strauss, W.1
  • 20
    • 23044521852 scopus 로고    scopus 로고
    • Uniqueness of positive radial solutions of a semilinear Dirichlet problem in an annulus
    • Yadava S.L. Uniqueness of positive radial solutions of a semilinear Dirichlet problem in an annulus. Proc. Roy. Soc. Edinburgh Sect. A 130 (2000) 1417-1428
    • (2000) Proc. Roy. Soc. Edinburgh Sect. A , vol.130 , pp. 1417-1428
    • Yadava, S.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.