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Volumn 214, Issue 2, 2005, Pages 358-390

Nodal type bound states of Schrödinger equations via invariant set and minimax methods

Author keywords

Bound state nodal solutions; Invariant sets; Minimax method; Nonlinear Schr dinger equations

Indexed keywords


EID: 18144416971     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2004.08.023     Document Type: Article
Times cited : (54)

References (25)
  • 1
    • 0035922965 scopus 로고    scopus 로고
    • Critical point theory on partially ordered Hilbert spaces
    • T. Bartsch Critical point theory on partially ordered Hilbert spaces J. Funct. Anal. 186 2001 117-152
    • (2001) J. Funct. Anal. , vol.186 , pp. 117-152
    • Bartsch, T.1
  • 3
    • 0346289757 scopus 로고    scopus 로고
    • Nonlinear Schrödinger equations with steep potential well
    • T. Bartsch A. Pankov Z.-Q. Wang Nonlinear Schrödinger equations with steep potential well Commun. Contemp. Math. 3 2001 1-21
    • (2001) Commun. Contemp. Math. , vol.3 , pp. 1-21
    • Bartsch, T.1    Pankov, A.2    Wang, Z.-Q.3
  • 4
    • 0000636235 scopus 로고    scopus 로고
    • On the existence of sign changing solutions for semilinear Dirichlet problems
    • T. Bartsch Z.-Q. Wang On the existence of sign changing solutions for semilinear Dirichlet problems Topol. Methods Nonlinear Anal. 7 1996 115-131
    • (1996) Topol. Methods Nonlinear Anal. , vol.7 , pp. 115-131
    • Bartsch, T.1    Wang, Z.-Q.2
  • 5
    • 18144401108 scopus 로고    scopus 로고
    • Semilinear equations with discrete spectrum
    • preprint
    • A. Castro, Semilinear equations with discrete spectrum, preprint.
    • Castro, A.1
  • 6
    • 0031372470 scopus 로고    scopus 로고
    • A sign-changing solution for a superlinear Dirichlet problem
    • A. Castro J. Cossio J. Neuberger A sign-changing solution for a superlinear Dirichlet problem Rocky Mountain J. Math. 27 1997 1041-1053
    • (1997) Rocky Mountain J. Math. , vol.27 , pp. 1041-1053
    • Castro, A.1    Cossio, J.2    Neuberger, J.3
  • 8
    • 0035402283 scopus 로고    scopus 로고
    • On a class of asymptotically linear elliptic problems in RN
    • D.G. Costa H. Tehrani On a class of asymptotically linear elliptic problems in R N J. Differential Equations 173 2001 470-494
    • (2001) J. Differential Equations , vol.173 , pp. 470-494
    • Costa, D.G.1    Tehrani, H.2
  • 9
    • 0001421282 scopus 로고
    • On sign-changing solutions of certain semilinear elliptic problems
    • E.N. Dancer Y. Du On sign-changing solutions of certain semilinear elliptic problems Appl. Anal. 56 1995 193-206
    • (1995) Appl. Anal. , vol.56 , pp. 193-206
    • Dancer, E.N.1    Du, Y.2
  • 11
    • 2142672943 scopus 로고    scopus 로고
    • On the existence of bounded Palais-Smale sequences and application to a Landesman-Lazer-type problem set on RN
    • L. Jeanjean On the existence of bounded Palais-Smale sequences and application to a Landesman-Lazer-type problem set on R N Proc. R. Soc. Edinburgh A 129 1999 787-809
    • (1999) Proc. R. Soc. Edinburgh A , vol.129 , pp. 787-809
    • Jeanjean, L.1
  • 12
    • 0036414880 scopus 로고    scopus 로고
    • A positive solution for an asymptotically linear elliptic problem on RN autonomous at infinity
    • L. Jeanjean K. Tanaka A positive solution for an asymptotically linear elliptic problem on R N autonomous at infinity ESAIM Control Optim. Calc. Var. 7 2002 597-614
    • (2002) ESAIM Control Optim. Calc. Var. , vol.7 , pp. 597-614
    • Jeanjean, L.1    Tanaka, K.2
  • 13
    • 0000776333 scopus 로고    scopus 로고
    • Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems
    • S.J. Li Z.-Q. Wang Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems J. Anal. Math. 81 2000 373-396
    • (2000) J. Anal. Math. , vol.81 , pp. 373-396
    • Li, S.J.1    Wang, Z.-Q.2
  • 14
    • 0036702017 scopus 로고    scopus 로고
    • Ljusternik-Schnirelman theory in partially ordered Hilbert spaces
    • S.J. Li Z.-Q. Wang Ljusternik-Schnirelman theory in partially ordered Hilbert spaces Trans. Am. Math. Soc. 354 2002 3207-3227
    • (2002) Trans. Am. Math. Soc. , vol.354 , pp. 3207-3227
    • Li, S.J.1    Wang, Z.-Q.2
  • 15
    • 22844456350 scopus 로고    scopus 로고
    • The existence of a positive solution to asymptotically linear scalar field equations
    • G.B. Li H.S. Zhou The existence of a positive solution to asymptotically linear scalar field equations Proc. R. Soc. Edinburgh A 130 2000 81-105
    • (2000) Proc. R. Soc. Edinburgh A , vol.130 , pp. 81-105
    • Li, G.B.1    Zhou, H.S.2
  • 16
    • 0000437013 scopus 로고    scopus 로고
    • Positive solutions of superlinear elliptic equations
    • Z.L. Liu Positive solutions of superlinear elliptic equations J. Funct. Anal. 167 1999 370-398
    • (1999) J. Funct. Anal. , vol.167 , pp. 370-398
    • Liu, Z.L.1
  • 17
    • 0035918638 scopus 로고    scopus 로고
    • Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations
    • Z.L. Liu J.X. Sun Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations J. Differential Equations 172 2001 257-299
    • (2001) J. Differential Equations , vol.172 , pp. 257-299
    • Liu, Z.L.1    Sun, J.X.2
  • 18
    • 0001901435 scopus 로고
    • Minimax methods in critical point theory with applications to differential equations
    • AMS Providence, RI
    • P.H. Rabinowitz Minimax methods in critical point theory with applications to differential equations CBMS Regional Conference Series in Mathematics vol. 65 1986 AMS Providence, RI
    • (1986) CBMS Regional Conference Series in Mathematics , vol.65
    • Rabinowitz, P.H.1
  • 20
    • 0003701134 scopus 로고
    • Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
    • Berlin, New York: Springer
    • M. Struwe Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems 1990 Springer Berlin, New York
    • (1990)
    • Struwe, M.1
  • 21
    • 0030291320 scopus 로고    scopus 로고
    • A variational problem related to self-trapping of an electromagnetic field
    • C.A. Stuart H.S. Zhou A variational problem related to self-trapping of an electromagnetic field Math. Methods Appl. Sci. 19 1996 1397-1407
    • (1996) Math. Methods Appl. Sci. , vol.19 , pp. 1397-1407
    • Stuart, C.A.1    Zhou, H.S.2
  • 22
    • 0033473157 scopus 로고    scopus 로고
    • Applying the mountain-pass theorem to an asymtotically linear elliptic equation on RN
    • C.A. Stuart H.S. Zhou Applying the mountain-pass theorem to an asymtotically linear elliptic equation on R N Commun. Partial Differential Equations 24 1999 1731-1758
    • (1999) Commun. Partial Differential Equations , vol.24 , pp. 1731-1758
    • Stuart, C.A.1    Zhou, H.S.2
  • 23
    • 0142011685 scopus 로고    scopus 로고
    • Multiple solutions for a Schrödinger type equation with an asymptotically linear term
    • F.A. Van Heerden Multiple solutions for a Schrödinger type equation with an asymptotically linear term Nonlinear Anal. 55 2003 739-758
    • (2003) Nonlinear Anal. , vol.55 , pp. 739-758
    • Van Heerden, F.A.1
  • 24
    • 0142103308 scopus 로고    scopus 로고
    • Schrödinger type equations with asymptotically linear nonlinearities
    • F.A. Van Heerden Z.-Q. Wang Schrödinger type equations with asymptotically linear nonlinearities Differential Integral Equations 16 2003 257-280
    • (2003) Differential Integral Equations , vol.16 , pp. 257-280
    • Van Heerden, F.A.1    Wang, Z.-Q.2
  • 25
    • 0032281604 scopus 로고    scopus 로고
    • Positive solution for a semilinear elliptic equation which is almost linear at infinity
    • H.S. Zhou Positive solution for a semilinear elliptic equation which is almost linear at infinity Z. Angew. Math. Phys. 49 1998 896-906
    • (1998) Z. Angew. Math. Phys. , vol.49 , pp. 896-906
    • Zhou, H.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.