메뉴 건너뛰기




Volumn 19, Issue 5, 2009, Pages 707-720

Solutions of the schrödingerpoisson problem concentrating on spheres, part I: Necessary conditions

Author keywords

Schr dinger equation; Semiclassical states; Variational methods

Indexed keywords

DINGER EQUATION; ELECTROSTATIC FIELD; RADIAL FUNCTIONS; SEMICLASSICAL STATES; STANDING WAVE; VARIATIONAL METHODS;

EID: 67650035426     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202509003589     Document Type: Article
Times cited : (51)

References (14)
  • 1
    • 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, Commun. Math. Phys. 235 (2003) 427-466.
    • (2003) Commun. Math. Phys , vol.235 , pp. 427-466
    • Ambrosetti, A.1    Malchiodi, A.2    Ni, W.M.3
  • 2
    • 0001036379 scopus 로고    scopus 로고
    • An eigenvalue problem for the Schrodinger-Maxwell equations
    • V. Benci and D. Fortunato, An eigenvalue problem for the Schrodinger-Maxwell equations, Top. Meth. Nonlinear Anal. 11 (1998) 283-293.
    • (1998) Top. Meth. Nonlinear Anal , vol.11 , pp. 283-293
    • Benci, V.1    Fortunato, D.2
  • 3
    • 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
  • 4
    • 4644344610 scopus 로고    scopus 로고
    • Solitary waves for Maxwell- Schrödinger equations
    • G. M. Coclite and V. Georgiev, Solitary waves for Maxwell- Schrödinger equations, Electronic J. Diff. Eqns. 94 (2004) 1-31.
    • (2004) Electronic J. Diff. Eqns , vol.94 , pp. 1-31
    • Coclite, G.M.1    Georgiev, V.2
  • 5
    • 67650026408 scopus 로고    scopus 로고
    • Existence of solitary waves for the nonlinear Klein-Gordon-Maxwell and Schrodinger-Maxwell equations
    • to appear
    • T. D'Aprile and D. Mugnai, Existence of solitary waves for the nonlinear Klein-Gordon-Maxwell and Schrodinger-Maxwell equations, Proc. R. Soc. Edinb., Sect. A, to appear.
    • Proc. R. Soc. Edinb., Sect. A
    • D'Aprile, T.1    Mugnai, D.2
  • 6
    • 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
  • 9
    • 68249098342 scopus 로고    scopus 로고
    • I. Ianni, Solutions of the Schrodinger-Poisson problem concentrating on spheres, II: Existence, to appear in Math. Mod. Meth. Appl. Sci.
    • I. Ianni, Solutions of the Schrodinger-Poisson problem concentrating on spheres, II: Existence, to appear in Math. Mod. Meth. Appl. Sci.
  • 10
    • 49649091557 scopus 로고    scopus 로고
    • On concentration of positive bound states for the Schrödinger-Poisson problem with potentials
    • I. Ianni and G. Vaira, On concentration of positive bound states for the Schrödinger-Poisson problem with potentials, Adv. Nonlinear Stud. 8 (2008) 573-595.
    • (2008) Adv. Nonlinear Stud , vol.8 , pp. 573-595
    • Ianni, I.1    Vaira, G.2
  • 11
    • 12144251987 scopus 로고    scopus 로고
    • Semiclassical states for coupled Schrodinger-Maxwell equations
    • D. Ruiz, Semiclassical states for coupled Schrodinger-Maxwell equations, Math. Mod. Meth. Appl. Sci. 15 (2005) 141-164.
    • (2005) Math. Mod. Meth. Appl. Sci , vol.15 , pp. 141-164
    • Ruiz, D.1
  • 12
    • 65549104073 scopus 로고    scopus 로고
    • On the Schrödinger-Poisson-Slater system: Behavior of minimizers, radial and nonradial cases
    • preprint
    • D. Ruiz, On the Schrödinger-Poisson-Slater system: Behavior of minimizers, radial and nonradial cases, preprint.
    • Ruiz, D.1
  • 13
    • 0000540347 scopus 로고
    • Existence of a solitary wave in higher dimensions
    • W. A. Strauss, Existence of a solitary wave in higher dimensions, Comm. Math. Phys. 55 (1977) 149-162.
    • (1977) Comm. Math. Phys , vol.55 , pp. 149-162
    • Strauss, W.A.1
  • 14
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.