메뉴 건너뛰기




Volumn 7, Issue 3, 2005, Pages 269-298

Multibump solutions of nonlinear periodic schrödinger equations in a degenerate setting

Author keywords

Degenerate setting; Multibump solution; Nonlinear Schr dinger equation

Indexed keywords


EID: 20644457564     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199705001763     Document Type: Article
Times cited : (33)

References (31)
  • 1
    • 0002527268 scopus 로고
    • Self-trapping of an electromagnetic field and bifurcation from the essential spectrum
    • C. A. Stuart, Self-trapping of an electromagnetic field and bifurcation from the essential spectrum, Arch. Rational Mech. Anal. 113 (1990) 65-96.
    • (1990) Arch. Rational Mech. Anal. , vol.113 , pp. 65-96
    • Stuart, C.A.1
  • 3
    • 0039679600 scopus 로고
    • The shadowing lemma for elliptic PDE
    • NATO Advanced Science Institutes Series F: Computer and Systems Sciences, Springer, Berlin
    • S. Angenent, The shadowing lemma for elliptic PDE, in Dynamics of Infinite-Dimensional Systems (Lisbon, 1986), NATO Advanced Science Institutes Series F: Computer and Systems Sciences, Vol. 37 (Springer, Berlin, 1987), pp. 7-22.
    • (1987) Dynamics of Infinite-dimensional Systems (Lisbon, 1986) , vol.37 , pp. 7-22
    • Angenent, S.1
  • 4
    • 0038622172 scopus 로고
    • n
    • Quaderni, Scuola Normale Superiore, Pisa
    • n, in Nonlinear Analysis (Quaderni, Scuola Normale Superiore, Pisa, 1991), pp. 307-317.
    • (1991) Nonlinear Analysis , pp. 307-317
    • Rabinowitz, P.H.1
  • 6
    • 0000212150 scopus 로고
    • On "multibump" bound states for certain semilinear elliptic equations
    • S. Alama and Y. Y. Li, On "multibump" bound states for certain semilinear elliptic equations, Indiana Univ. Math. J. 41 (1992) 983-1026.
    • (1992) Indiana Univ. Math. J. , vol.41 , pp. 983-1026
    • Alama, S.1    Li, Y.Y.2
  • 7
    • 44049114539 scopus 로고
    • Existence of solutions for semilinear elliptic equations with indefinite linear part
    • S. Alama and Y. Y. Li, Existence of solutions for semilinear elliptic equations with indefinite linear part, J. Differential Equations 96 (1992) 89-115.
    • (1992) J. Differential Equations , vol.96 , pp. 89-115
    • Alama, S.1    Li, Y.Y.2
  • 8
    • 0032167164 scopus 로고    scopus 로고
    • On a semilinear Schrödinger equation with periodic potential
    • A. A. Pankov and K. Pflüger, On a semilinear Schrödinger equation with periodic potential, Nonlinear Anal. 33 (1998) 593-609.
    • (1998) Nonlinear Anal. , vol.33 , pp. 593-609
    • Pankov, A.A.1    Pflüger, K.2
  • 9
    • 0001691788 scopus 로고    scopus 로고
    • Generalized linking theorem with an application to a semilinear Schrödinger equation
    • W. Kryszewski and A. Szulkin, Generalized linking theorem with an application to a semilinear Schrödinger equation, Adv. Differential Equations 3 (1998) 441-472.
    • (1998) Adv. Differential Equations , vol.3 , pp. 441-472
    • Kryszewski, W.1    Szulkin, A.2
  • 10
    • 0001356193 scopus 로고    scopus 로고
    • Nontrivial solution of a semilinear Schrödinger equation
    • C. Troestler and M. Willem, Nontrivial solution of a semilinear Schrödinger equation, Commun. Partial Differential Equations 21 (1996) 1431-1449.
    • (1996) Commun. Partial Differential Equations , vol.21 , pp. 1431-1449
    • Troestler, C.1    Willem, M.2
  • 11
    • 0039441081 scopus 로고    scopus 로고
    • On a nonlinear Schrödinger equation with periodic potential
    • T. Bartsch and Y. Ding, On a nonlinear Schrödinger equation with periodic potential, Math. Ann. 313 (1999) 15-37.
    • (1999) Math. Ann. , vol.313 , pp. 15-37
    • Bartsch, T.1    Ding, Y.2
  • 13
    • 0000830631 scopus 로고
    • A variational approach to homoclinic orbits in Hamiltonian systems
    • V. Coti Zelati, I. Ekeland and É. Séré, A variational approach to homoclinic orbits in Hamiltonian systems, Math. Ann. 288 (1990) 133-160.
    • (1990) Math. Ann. , vol.288 , pp. 133-160
    • Zelati, V.C.1    Ekeland, I.2    Séré, É.3
  • 14
    • 51249165518 scopus 로고
    • Existence of infinitely many homoclinic orbits in Hamiltonian systems
    • É. Séré, Existence of infinitely many homoclinic orbits in Hamiltonian systems, Math. Z. 209 (1992) 27-42.
    • (1992) Math. Z. , vol.209 , pp. 27-42
    • Séré, É.1
  • 15
    • 84968502322 scopus 로고
    • Homoclinic orbits for second order Hamilto-nian systems possessing superquadratic potentials
    • V. Coti Zelati and P. H. Rabinowitz, Homoclinic orbits for second order Hamilto-nian systems possessing superquadratic potentials, J. Amer. Math. Soc. 4 (1991) 693-727.
    • (1991) J. Amer. Math. Soc. , vol.4 , pp. 693-727
    • Zelati, V.C.1    Rabinowitz, P.H.2
  • 17
    • 20644462284 scopus 로고    scopus 로고
    • A variational approach to multibump solutions of differential equations
    • Contemporary Mathematics, American Mathematical Society, Providence, RI
    • P. H. Rabinowitz, A variational approach to multibump solutions of differential equations, in Hamiltonian Dynamics and Celestial Mechanics (Seattle, WA, 1995), Contemporary Mathematics, Vol. 198 (American Mathematical Society, Providence, RI 1996), pp. 31-43.
    • (1996) Hamiltonian Dynamics and Celestial Mechanics (Seattle, WA, 1995) , vol.198 , pp. 31-43
    • Rabinowitz, P.H.1
  • 20
    • 0346289757 scopus 로고    scopus 로고
    • Nonlinear Schrödinger equations with steep potential well
    • T. Bartsch, A. Pankov and Z.-Q. Wang, Nonlinear Schrödinger equations with steep potential well, Commun. Contemp. Math. 3 (2001) 549-569.
    • (2001) Commun. Contemp. Math. , vol.3 , pp. 549-569
    • Bartsch, T.1    Pankov, A.2    Wang, Z.-Q.3
  • 21
    • 0242605015 scopus 로고    scopus 로고
    • Gluing approximate solutions of minimum type on the Nehari manifold
    • Proceedings of the USA-Chile Workshop on Nonlinear Analysis (Viña del Mar- Valparaiso, 2000), Proceedings of Conferences, Southwest Texas State University, San Marcos, TX
    • Y. Li and Z.-Q. Wang, Gluing approximate solutions of minimum type on the Nehari manifold, in Proceedings of the USA-Chile Workshop on Nonlinear Analysis (Viña del Mar- Valparaiso, 2000), Electronic Journal of Differential Equations, Proceedings of Conferences, Vol. 6 (Southwest Texas State University, San Marcos, TX, 2001), pp. 215-223.
    • (2001) Electronic Journal of Differential Equations , vol.6 , pp. 215-223
    • Li, Y.1    Wang, Z.-Q.2
  • 22
    • 0030376845 scopus 로고    scopus 로고
    • Multibump periodic motions of an infinite lattice of particles
    • G. Arioli, F. Gazzola and S. Terracini, Multibump periodic motions of an infinite lattice of particles, Math. Z. 223 (1996) 627-642.
    • (1996) Math. Z. , vol.223 , pp. 627-642
    • Arioli, G.1    Gazzola, F.2    Terracini, S.3
  • 24
    • 6344263972 scopus 로고    scopus 로고
    • On a periodic Schrödinger equation with nonlocal superlinear part
    • N. Ackermann, On a periodic Schrödinger equation with nonlocal superlinear part, Math. Z. 248 (2004) 423-443.
    • (2004) Math. Z. , vol.248 , pp. 423-443
    • Ackermann, N.1
  • 27
    • 1642370360 scopus 로고
    • On the number of nodal domains for eigenfunctions of elliptic differential operators
    • E. Müller-Pfeiffer, On the number of nodal domains for eigenfunctions of elliptic differential operators, J. London Math. Soc. 31(2) (1985) 91-100.
    • (1985) J. London Math. Soc. , vol.31 , Issue.2 , pp. 91-100
    • Müller-Pfeiffer, E.1
  • 28
    • 0035918638 scopus 로고    scopus 로고
    • Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations
    • Z. Liu and J. 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.1    Sun, J.2
  • 29
    • 0016092731 scopus 로고
    • On the variational principle
    • I. Ekeland, On the variational principle, J. Math. Anal. Appl. 47 (1974) 324-353.
    • (1974) J. Math. Anal. Appl. , vol.47 , pp. 324-353
    • Ekeland, I.1
  • 30
    • 0004118642 scopus 로고    scopus 로고
    • Results in Mathematics and Related Areas, 3rd Series Springer-Verlag, Berlin
    • M. Struwe, Variational Methods, 3rd edn. Results in Mathematics and Related Areas, 3rd Series, Vol. 34 (Springer-Verlag, Berlin, 2000).
    • (2000) Variational Methods, 3rd Edn. , vol.34
    • Struwe, M.1
  • 31
    • 85030719142 scopus 로고
    • The concentration-compactness principle in the calculus of variations. The locally compact case. II
    • P.-L. Lions, The concentration-compactness principle in the calculus of variations. The locally compact case. II, Ann. Inst. H. Poincaré Anal. Non Linéaire 1 (1984) 223-283.
    • (1984) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.1 , pp. 223-283
    • Lions, P.-L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.