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Volumn 46, Issue 5, 2005, Pages

Semiclassical states for NLS equations with magnetic potentials having polynomial growths

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EID: 18844377921     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1874333     Document Type: Article
Times cited : (79)

References (33)
  • 2
    • 0002237653 scopus 로고    scopus 로고
    • Variational perturbative methods and bifurcation of bound states from the essential spectrum
    • Ambrosetti, A., and Badiale, M., " Variational perturbative methods and bifurcation of bound states from the essential spectrum., " Proc. - R. Soc. Edinburgh, Sect. A: Math. 128, 1131-1161 (1998).
    • (1998) Proc. - R. Soc. Edinburgh, Sect. A: Math. , vol.128 , pp. 1131-1161
    • Ambrosetti, A.1    Badiale, M.2
  • 3
    • 0031313734 scopus 로고    scopus 로고
    • Semiclassical states of nonlinear Schrödinger equations
    • Ambrosetti, A., Badiale, M., and Cingolani, S., " Semiclassical states of nonlinear Schrödinger equations., " Arch. Ration. Mech. Anal. 140, 285-300 (1997).
    • (1997) Arch. Ration. Mech. Anal. , vol.140 , pp. 285-300
    • Ambrosetti, A.1    Badiale, M.2    Cingolani, S.3
  • 4
    • 0040435197 scopus 로고    scopus 로고
    • Multiplicity results for some non-linear Schrödinger equations with potentials
    • Ambrosetti, A., Malchiodi, A., and Secchi, S., " Multiplicity results for some non-linear Schrödinger equations with potentials., " Arch. Ration. Mech. Anal. 159, 253-271 (2001).
    • (2001) Arch. Ration. Mech. Anal. , vol.159 , pp. 253-271
    • Ambrosetti, A.1    Malchiodi, A.2    Secchi, S.3
  • 5
    • 0348162460 scopus 로고    scopus 로고
    • A semilinear Schrödinger equations in the presence of a magnetic field
    • Arioli, G., and Szulkin, A., " A semilinear Schrödinger equations in the presence of a magnetic field. " Arch. Ration. Mech. Anal. 170, 277-295 (2003).
    • (2003) Arch. Ration. Mech. Anal. , vol.170 , pp. 277-295
    • Arioli, G.1    Szulkin, A.2
  • 6
    • 84972547058 scopus 로고
    • Schrödinger operators with magnetic fields I
    • Avron, J., Herbst, I., and Simon, B., " Schrödinger operators with magnetic fields I., " Duke Math. J. 45, 847-883 (1978).
    • (1978) Duke Math. J. , vol.45 , pp. 847-883
    • Avron, J.1    Herbst, I.2    Simon, B.3
  • 7
    • 0032331985 scopus 로고    scopus 로고
    • Onset of superconductivity in decreasing fields or general domains
    • Bernoff, A., and Stenberg, P., " Onset of superconductivity in decreasing fields or general domains., " J. Math. Phys. 39, 1272-1284 (1998).
    • (1998) J. Math. Phys. , vol.39 , pp. 1272-1284
    • Bernoff, A.1    Stenberg, P.2
  • 8
    • 0037429353 scopus 로고    scopus 로고
    • Semiclassical stationary states of nonlinear Schrödinger equations with an external magnetic field
    • Cingolani, S., " Semiclassical stationary states of nonlinear Schrödinger equations with an external magnetic field., " J. Diff. Eqns. 188, 52-79 (2003).
    • (2003) J. Diff. Eqns. , vol.188 , pp. 52-79
    • Cingolani, S.1
  • 9
    • 0033637770 scopus 로고    scopus 로고
    • Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
    • Cingolani, S., and Lazzo, M., " Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions., " J. Diff. Eqns. 160, 118-138 (2000).
    • (2000) J. Diff. Eqns. , vol.160 , pp. 118-138
    • Cingolani, S.1    Lazzo, M.2
  • 10
    • 33747045188 scopus 로고    scopus 로고
    • Multi-peaks periodic semiclassical states for a class of nonlinear Schrödinger equations
    • Cingolani, S., and Nolasco, M., " Multi-peaks periodic semiclassical states for a class of nonlinear Schrödinger equations., " Proc. - R. Soc. Edinburgh, Sect. A: Math. 128, 1249-1260 (1998).
    • (1998) Proc. - R. Soc. Edinburgh, Sect. A: Math. , vol.128 , pp. 1249-1260
    • Cingolani, S.1    Nolasco, M.2
  • 11
    • 0036869089 scopus 로고    scopus 로고
    • Semiclassical limit for nonlinear Schrödinger equations with electromagnetic fields
    • Cingolani, S., and Secchi, S., " Semiclassical limit for nonlinear Schrödinger equations with electromagnetic fields., " J. Math. Anal. Appl. 275, 108-130 (2002).
    • (2002) J. Math. Anal. Appl. , vol.275 , pp. 108-130
    • Cingolani, S.1    Secchi, S.2
  • 13
    • 0001341199 scopus 로고    scopus 로고
    • Local mountain passes for semilinear elliptic problems in unbounded domains
    • Del Pino, M., and Felmer, P., " Local mountain passes for semilinear elliptic problems in unbounded domains., " Calculus Var. Partial Differ. Equ. 4, 121-137 (1996).
    • (1996) Calculus Var. Partial Differ. Equ. , vol.4 , pp. 121-137
    • Del Pino, M.1    Felmer, P.2
  • 14
    • 0031237479 scopus 로고    scopus 로고
    • Semi-classical states for nonlinear Schrödinger equations
    • Del Pino, M., and Felmer, P., " Semi-classical states for nonlinear Schrödinger equations., " J. Funct. Anal. 149, 245-265 (1997).
    • (1997) J. Funct. Anal. , vol.149 , pp. 245-265
    • Del Pino, M.1    Felmer, P.2
  • 16
    • 0034348882 scopus 로고    scopus 로고
    • Boundary concentration for eigenvalue problems related to the onset of superconductivity
    • Del Pino, M., Felmer, P., and Stenberg, P., " Boundary concentration for eigenvalue problems related to the onset of superconductivity., " Commun. Math. Phys. 210, 431-446 (2000).
    • (2000) Commun. Math. Phys. , vol.210 , pp. 431-446
    • Del Pino, M.1    Felmer, P.2    Stenberg, P.3
  • 17
    • 84971139225 scopus 로고
    • Existence and nonexistence results for semilinear problems in unbounded domains
    • Esteban, M., and Lions, P. L., " Existence and nonexistence results for semilinear problems in unbounded domains., " Proc. - R. Soc. Edinburgh, Sect. A: Math. 93, 1-14 (1982).
    • (1982) Proc. - R. Soc. Edinburgh, Sect. A: Math. , vol.93 , pp. 1-14
    • Esteban, M.1    Lions, P.L.2
  • 18
    • 0039806927 scopus 로고
    • Stationary solutions of nonlinear Schrödinger equations with an external magnetic field
    • Birkhäuser
    • Esteban, M., and Lions, P. L., " Stationary solutions of nonlinear Schrödinger equations with an external magnetic field., " PDE and Calculus of Variations, in honor of E. De Giorgi (Birkhäuser, 1990).
    • (1990) Pde and Calculus of Variations, in Honor of E. de Giorgi
    • Esteban, M.1    Lions, P.L.2
  • 19
    • 0001613187 scopus 로고
    • Nonspreading wave packets for the cubic Schrödinger equations with a bounded potential
    • Floer, A., and Weinstein, A., " Nonspreading wave packets for the cubic Schrödinger equations with a bounded potential., " J. Funct. Anal. 69, 397-408 (1986).
    • (1986) J. Funct. Anal. , vol.69 , pp. 397-408
    • Floer, A.1    Weinstein, A.2
  • 20
    • 0035485068 scopus 로고    scopus 로고
    • Magnetic bottles in connection with superconductivity
    • Helffer, B., and Morame, A., " Magnetic bottles in connection with superconductivity., " J. Funct. Anal. 93A, 604-680 (2001).
    • (2001) J. Funct. Anal. , vol.93 , pp. 604-680
    • Helffer, B.1    Morame, A.2
  • 21
    • 0034251935 scopus 로고    scopus 로고
    • Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields
    • Kurata, K., " Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields., " Nonlinear Anal. Theory, Methods Appl. 41, 763-778 (2000).
    • (2000) Nonlinear Anal. Theory, Methods Appl. , vol.41 , pp. 763-778
    • Kurata, K.1
  • 22
    • 34249974409 scopus 로고
    • Uniqueness of positive solutions of Δu-u+up=0 in Rn
    • Kwong, M. K., " Uniqueness of positive solutions of Δu-u+up=0 in Rn., " Arch. Ration. Mech. Anal. 105, 243-266 (1989).
    • (1989) Arch. Ration. Mech. Anal. , vol.105 , pp. 243-266
    • Kwong, M.K.1
  • 24
    • 0000264842 scopus 로고    scopus 로고
    • On a singularly perturbed elliptic equation
    • Li., Y. Y., " On a singularly perturbed elliptic equation., " Adv. Differ. Equ. 2, 955-980 (1997).
    • (1997) Adv. Differ. Equ. , vol.2 , pp. 955-980
    • Li, Y.Y.1
  • 25
    • 85030719142 scopus 로고
    • The concentration-compactness principle in the calculus of variations. the locally compact case. Part II
    • Lions, P. L., " The concentration-compactness principle in the calculus of variations. The locally compact case. Part II., " Ann. Inst. Henri Poincare, Anal. Non Lineaire 1, 223-283 (1984).
    • (1984) Ann. Inst. Henri Poincare, Anal. Non Lineaire , vol.1 , pp. 223-283
    • Lions, P.L.1
  • 26
    • 0034634855 scopus 로고    scopus 로고
    • Surface nucleation of superconductivity in 3-dimensions
    • Lu, K., and Pan, X.-B., " Surface nucleation of superconductivity in 3-dimensions., " J. Diff. Eqns. 168, 386-452 (2000).
    • (2000) J. Diff. Eqns. , vol.168 , pp. 386-452
    • Lu, K.1    Pan, X.-B.2
  • 27
    • 84946264643 scopus 로고
    • Existence of semiclassical bound states of nonlinear Schrödinger equations
    • Oh, Y. G., " Existence of semiclassical bound states of nonlinear Schrödinger equations., " Commun. Partial Differ. Equ. 13, 1499-1519 (1988).
    • (1988) Commun. Partial Differ. Equ. , vol.13 , pp. 1499-1519
    • Oh, Y.G.1
  • 28
    • 0001648137 scopus 로고
    • On a general variational identity
    • Pucci, P., and Serrin, J., " On a general variational identity., " Indiana Univ. Math. J. 35, 681-703 (1986).
    • (1986) Indiana Univ. Math. J. , vol.35 , pp. 681-703
    • Pucci, P.1    Serrin, J.2
  • 29
    • 34249835055 scopus 로고
    • On a class of nonlinear Schrödinger equations
    • Rabinowitz, P., " On a class of nonlinear Schrödinger equations., " ZAMP 43, 270-291 (1992).
    • (1992) ZAMP , vol.43 , pp. 270-291
    • Rabinowitz, P.1
  • 31
    • 18644372297 scopus 로고    scopus 로고
    • On the location of spikes for the Schrödinger equations with electromagnetic field
    • Secchi, S., and Squassina, M., On the location of spikes for the Schrödinger equations with electromagnetic field., Commun. Contemp. Math. 7, 1 (2005).
    • (2005) Commun. Contemp. Math. , vol.7 , pp. 1
    • Secchi, S.1    Squassina, M.2
  • 32
    • 21444460044 scopus 로고    scopus 로고
    • Eigenvalue asymptotics and exponential decay of the eigenfunctions for Schrödinger operators with magnetic fields
    • Shen, Z., " Eigenvalue asymptotics and exponential decay of the eigenfunctions for Schrödinger operators with magnetic fields., " Trans. Am. Math. Soc. 348, 4465-4488 (1996).
    • (1996) Trans. Am. Math. Soc. , vol.348 , pp. 4465-4488
    • Shen, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.