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Volumn 15, Issue 1, 2005, Pages 141-164

Semiclassical states for coupled schrödinger-maxwell equations: Concentration around a sphere

Author keywords

Maxwell equation; Perturbation techniques; Schr dinger equation; Semiclassical states; Variational method

Indexed keywords


EID: 12144251987     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202505003939     Document Type: Article
Times cited : (143)

References (26)
  • 1
    • 84980075953 scopus 로고
    • Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I
    • S. Agmon, A. Douglis and L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I, Comm. Pure Appl. Math. 12 (1959) 623-727.
    • (1959) Comm. Pure Appl. Math. , vol.12 , pp. 623-727
    • Agmon, S.1    Douglis, A.2    Nirenberg, L.3
  • 2
    • 0013434847 scopus 로고    scopus 로고
    • Homoclinics: Poincaré-Melnikov type results via a variational approach
    • A. Ambrosetti and M. Badiale, Homoclinics: Poincaré-Melnikov type results via a variational approach, Ann. Inst. H. Poincaré Anal. Non Lineare 15 (1998) 233-252.
    • (1998) Ann. Inst. H. Poincaré Anal. Non Lineare , vol.15 , pp. 233-252
    • Ambrosetti, A.1    Badiale, M.2
  • 3
    • 0002237653 scopus 로고    scopus 로고
    • Variational perturbative methods and bifurcation of bound states from the essential espectrum
    • A. Ambrosetti and M. Badiale, Variational perturbative methods and bifurcation of bound states from the essential espectrum, Proc. Royal Soc. Edinburgh A128 (1998) 1131-1161.
    • (1998) Proc. Royal Soc. Edinburgh , vol.A128 , pp. 1131-1161
    • Ambrosetti, A.1    Badiale, M.2
  • 4
    • 0031313734 scopus 로고    scopus 로고
    • Semiclassical states of nonlinear Schrödinger equations
    • A. Ambrosetti, M. Badiale and S. Cingolani, Semiclassical states of nonlinear Schrödinger equations, Arch. Rat. Mech. Anal. 140 (1997) 285-300.
    • (1997) Arch. Rat. Mech. Anal. , vol.140 , pp. 285-300
    • Ambrosetti, A.1    Badiale, M.2    Cingolani, S.3
  • 5
    • 0038609648 scopus 로고    scopus 로고
    • Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, part I
    • A. Ambrosetti, A. Malchiodi and W.-M. Ni, Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, part I, Comm. Math. Phys. 235 (2003) 427-466.
    • (2003) Comm. Math. Phys. , vol.235 , pp. 427-466
    • Ambrosetti, A.1    Malchiodi, A.2    Ni, W.-M.3
  • 6
    • 0036604518 scopus 로고    scopus 로고
    • Concentration around a sphere for singularly perturbed Schrödinger equation
    • M. Badiale and T. D'Aprile, Concentration around a sphere for singularly perturbed Schrödinger equation, Nonlinear Anal. 49 (2002) 947-985.
    • (2002) Nonlinear Anal. , vol.49 , pp. 947-985
    • Badiale, M.1    D'Aprile, T.2
  • 7
    • 0035593772 scopus 로고    scopus 로고
    • Semiclassical limit for Schrödinger-Poisson equation in a crystal
    • P. Bechouche, N. J. Mauser and F. Poupaud, Semiclassical limit for Schrödinger-Poisson equation in a crystal, Comm. Pure Appl. Math. 54 (2001) 851-890.
    • (2001) Comm. Pure Appl. Math. , vol.54 , pp. 851-890
    • Bechouche, P.1    Mauser, N.J.2    Poupaud, F.3
  • 8
    • 0001036379 scopus 로고    scopus 로고
    • An eigenvalue problem for the Schrödinger-Maxwell equations
    • V. Benci and D. Fortunato, An eigenvalue problem for the Schrödinger-Maxwell equations, Top. Math. Nonlinear Anal. 11 (1998) 283-293.
    • (1998) Top. Math. Nonlinear Anal. , vol.11 , pp. 283-293
    • Benci, V.1    Fortunato, D.2
  • 10
    • 0020591567 scopus 로고
    • Nonlinear Scalar field equations I: Existence of a ground state
    • H. Beresticky and P. L. Lions, Nonlinear Scalar field equations I: Existence of a ground state, Arch. Rat. Mech. Anal. 82 (1983) 313-345.
    • (1983) Arch. Rat. Mech. Anal. , vol.82 , pp. 313-345
    • Beresticky, H.1    Lions, P.L.2
  • 14
    • 4644286190 scopus 로고    scopus 로고
    • Non-radially symmetric solutions of nonlinear Schrödinger equation coupled with Maxwell equations
    • P. D'Avenia, Non-radially symmetric solutions of nonlinear Schrödinger equation coupled with Maxwell equations, Adv. Nonlinear Stud. 2 (2002) 177-192.
    • (2002) Adv. Nonlinear Stud. , vol.2 , pp. 177-192
    • D'Avenia, P.1
  • 15
    • 0001341199 scopus 로고    scopus 로고
    • Local mountain passes for semilinear elliptic problems in unbounded domains
    • M. Del Pino and P. Felmer, Local mountain passes for semilinear elliptic problems in unbounded domains, Calc. Var. PDE 4 (1996) 121-137.
    • (1996) Calc. Var. PDE , vol.4 , pp. 121-137
    • Del Pino, M.1    Felmer, P.2
  • 16
    • 0031237479 scopus 로고    scopus 로고
    • Semiclassical states for nonlinear Schrödinger equations
    • M. Del Pino and P. Felmer, Semiclassical states for nonlinear Schrödinger equations, J. Funct. Anal. 149 (1997) 245-265.
    • (1997) J. Funct. Anal. , vol.149 , pp. 245-265
    • Del Pino, M.1    Felmer, P.2
  • 17
    • 0001613187 scopus 로고
    • Nonspreading wave packets for the cubic Schrödinger equations with a bounded potential
    • A. Floer and A. Weinstein, Nonspreading wave packets for the cubic Schrödinger equations with a bounded potential, J. Funct. Anal. 69 (1986) 397-408.
    • (1986) J. Funct. Anal. , vol.69 , pp. 397-408
    • Floer, A.1    Weinstein, A.2
  • 18
    • 0036101479 scopus 로고    scopus 로고
    • On the point-particle (newtonian) limit of the non-linear Hartree equation
    • J. Frölich, T. P. Tsai and H. T. Yau, On the point-particle (newtonian) limit of the non-linear Hartree equation, Comm. Math. Phys. 225 (2002) 223-274.
    • (2002) Comm. Math. Phys. , vol.225 , pp. 223-274
    • Frölich, J.1    Tsai, T.P.2    Yau, H.T.3
  • 21
    • 29444432472 scopus 로고
    • Stability theory of solitary waves in the presence of symmetry II
    • M. Grillakis, J. Shatah and W. Strauss, Stability theory of solitary waves in the presence of symmetry II, J. Funct. Anal. 94 (1990) 308-348.
    • (1990) J. Funct. Anal. , vol.94 , pp. 308-348
    • Grillakis, M.1    Shatah, J.2    Strauss, W.3
  • 23
    • 0000264842 scopus 로고    scopus 로고
    • On a singularly perturbed elliptic equation
    • Y. Y. Li, On a singularly perturbed elliptic equation, Adv. Diff. Eqn. 2 (1997) 955-980.
    • (1997) Adv. Diff. Eqn. , vol.2 , pp. 955-980
    • Li, Y.Y.1
  • 24
    • 0002776502 scopus 로고
    • Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials
    • Y.-G. Oh, Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials, Comm. Math. Phys. 121 (1989) 11-33.
    • (1989) Comm. Math. Phys. , vol.121 , pp. 11-33
    • Oh, Y.-G.1
  • 25
    • 34250081368 scopus 로고
    • On concentration of bound states of nonlinear Schrödinger equations
    • X. Wang, On concentration of bound states of nonlinear Schrödinger equations, Comm. Math. Phys. 153 (1993) 229-243.
    • (1993) Comm. Math. Phys. , vol.153 , pp. 229-243
    • Wang, X.1
  • 26
    • 0000540347 scopus 로고
    • Existence of solitary waves in higher dimensions
    • W. A. Strauss, 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.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.