This paper deals with the existence of infinitely many large energy solutions for nonlinear Schrödinger-Maxwell system { −∆ + ( ) + = | | −1 in ℝ−∆ = in ℝ
A. AMBROSETTI, D.RUIZ, multiple bound states for the Schrödinger-Poisson problem, Commun. Contemp. Math., 10(3) (2008), 391–404.
A. AZZOLINI, P. D’AVENIA, A. POMPONIO, On the Schrödinger-Maxwell equations under effect of a general nonlinear term, Ann. Inst. H. Poincare Anal. Non Lineair., 27(2) (2010), 779–791.
T. D’APRIL, D. MUGNAL, Solitary waves for nonlinear Klein-Gordon-Maxwell and Schördinger-Maxwell equations, Proc.Roy.Soc.Edinburgh. Sect. (A)., 134(5) (2004), 893–906.
A. AMBROSETTI, A. MALCHIODI, Perturbation Methods and Semilinear Elliptic Problems on R^n, Progr. Math. Birkhuser Verlag, Vol. 240 (2006).
A. AZZOLINI, A. POMPONIO, Ground staes solutions for the nonlinear Schördinger-Maxwell equations, J.Math. Anal. Appl., 345(1) (2008), 90–108.
V.BENCI, D. FORTUNATO, An eigenvalue problem for the Schördinger-Maxwell equations ,Topol.Methods nonlinear Anal., 11(2) (1998), 283–293.
TH. BARTHS, SH. PENG, Semiclassical symmetric Schrdinger equations: existence of solutions concentrating simultaneously on several spheres, Z. Angew. Math. Phys., 58(5) (2007), 778–804.
D. BONHEURE, J. VAN SCHAFTINGEN, Bound state solutions for a class of nonlinear Schrdinger equations, Rev. Mat. Iberoam., 24 (2008), 297–351.
V. BENCI, D. FORTUNATO, A. MASIELLO, L. PISANI, Solitons and the electromagneticfield, Math. Z., 232(1) (1999), 73–102.
D. BONHEURE, J.DI COSMO, J.VAN SCHAFTINGEN, Nonlinear Schrdinger equation with unbounded or vanishing potentials: Solutions concentrating on lower dimensional spheres, J.Differential Equations., 252 (2012) , 941–968.
G.M. COCLITE, A multiplicity result for the nonlinear Schrödinger -Maxwell equations, Commun. Apll.Anal., 7(2-3) (2003), 417–423.
G. CERAMI, An existence criterion for the points on unbounded manifolds, Istit. Lombardo Accad. Sci. Lett. Rend. A ., 112(2) (1979), 332– 336.
S.J. CHEN, C.L. TANG, High energy solutions for the superlinear Schrödinger-Maxwell ewuations, Nonlinear Anal., 71(10) (2009), 4927– 4934.
D. GILBARG, N.S. TRUDINGER, Elliptic partial differential equations of second order, Classics in Mathematics. Springer-Verlag, Berlin, (2001).
Y.JIANG, ZH. WANG, H-S ZHOU, multiple solutions for a nonhomogeneous Schrödinger-Maxwell system in R^3, arXiv: 1204.3359v1 [math.AP], 16Apr (2012).
L.LI, SH-J. CHEN, Infinitely many large energy solutions of superlinear Schrödinger-maxwell equations, Electron. j. Differential Equations., Vol.(2012) No. 224 (2012), 1–9.
D. RUIZ, The Schrödinger-Poisson equation under effect of nonlinear local term, J. Funct. Anal., 232(2) (2006), 655–674.
F.K. ZHAO, Y.H. DING, On Hamiltonian elliptic systes with periodic and non-periodic potentials, J.Differential Equations., 249 (2010) , 2964–2985.
J. ZHANG, W. QIN, F. ZHAO, Existence and multiplicity of solutions for asymptotically linear nonpreiodic Hamiltonian elliptic system, J. Math. Anal. Appl., 399 (2013), 433-441.
W. M. ZOU, M. SCHECHETER, Critical point theory and its applications, Springer, New York (2006).
A. AMBROSETTI, D.RUIZ, multiple bound states for the Schrödinger-Poisson problem, Commun. Contemp. Math., 10(3) (2008), 391–404.
A. AZZOLINI, P. D’AVENIA, A. POMPONIO, On the Schrödinger-Maxwell equations under effect of a general nonlinear term, Ann. Inst. H. Poincare Anal. Non Lineair., 27(2) (2010), 779–791.
T. D’APRIL, D. MUGNAL, Solitary waves for nonlinear Klein-Gordon-Maxwell and Schördinger-Maxwell equations, Proc.Roy.Soc.Edinburgh. Sect. (A)., 134(5) (2004), 893–906.
A. AMBROSETTI, A. MALCHIODI, Perturbation Methods and Semilinear Elliptic Problems on R^n, Progr. Math. Birkhuser Verlag, Vol. 240 (2006).
A. AZZOLINI, A. POMPONIO, Ground staes solutions for the nonlinear Schördinger-Maxwell equations, J.Math. Anal. Appl., 345(1) (2008), 90–108.
V.BENCI, D. FORTUNATO, An eigenvalue problem for the Schördinger-Maxwell equations ,Topol.Methods nonlinear Anal., 11(2) (1998), 283–293.
TH. BARTHS, SH. PENG, Semiclassical symmetric Schrdinger equations: existence of solutions concentrating simultaneously on several spheres, Z. Angew. Math. Phys., 58(5) (2007), 778–804.
D. BONHEURE, J. VAN SCHAFTINGEN, Bound state solutions for a class of nonlinear Schrdinger equations, Rev. Mat. Iberoam., 24 (2008), 297–351.
V. BENCI, D. FORTUNATO, A. MASIELLO, L. PISANI, Solitons and the electromagneticfield, Math. Z., 232(1) (1999), 73–102.
D. BONHEURE, J.DI COSMO, J.VAN SCHAFTINGEN, Nonlinear Schrdinger equation with unbounded or vanishing potentials: Solutions concentrating on lower dimensional spheres, J.Differential Equations., 252 (2012) , 941–968.
G.M. COCLITE, A multiplicity result for the nonlinear Schrödinger -Maxwell equations, Commun. Apll.Anal., 7(2-3) (2003), 417–423.
G. CERAMI, An existence criterion for the points on unbounded manifolds, Istit. Lombardo Accad. Sci. Lett. Rend. A ., 112(2) (1979), 332– 336.
S.J. CHEN, C.L. TANG, High energy solutions for the superlinear Schrödinger-Maxwell ewuations, Nonlinear Anal., 71(10) (2009), 4927– 4934.
D. GILBARG, N.S. TRUDINGER, Elliptic partial differential equations of second order, Classics in Mathematics. Springer-Verlag, Berlin, (2001).
Y.JIANG, ZH. WANG, H-S ZHOU, multiple solutions for a nonhomogeneous Schrödinger-Maxwell system in R^3, arXiv: 1204.3359v1 [math.AP], 16Apr (2012).
L.LI, SH-J. CHEN, Infinitely many large energy solutions of superlinear Schrödinger-maxwell equations, Electron. j. Differential Equations., Vol.(2012) No. 224 (2012), 1–9.
D. RUIZ, The Schrödinger-Poisson equation under effect of nonlinear local term, J. Funct. Anal., 232(2) (2006), 655–674.
F.K. ZHAO, Y.H. DING, On Hamiltonian elliptic systes with periodic and non-periodic potentials, J.Differential Equations., 249 (2010) , 2964–2985.
J. ZHANG, W. QIN, F. ZHAO, Existence and multiplicity of solutions for asymptotically linear nonpreiodic Hamiltonian elliptic system, J. Math. Anal. Appl., 399 (2013), 433-441.
W. M. ZOU, M. SCHECHETER, Critical point theory and its applications, Springer, New York (2006).
Alimohammady, M., & Kalleji, M. K. (2014). Infinitely many large energy solutions of nonlinear Schrödinger. New Trends in Mathematical Sciences, 2(2), 87-94. https://izlik.org/JA85TE86FD
AMA
1.Alimohammady M, Kalleji MK. Infinitely many large energy solutions of nonlinear Schrödinger. New Trends in Mathematical Sciences. 2014;2(2):87-94. https://izlik.org/JA85TE86FD
Chicago
Alimohammady, Mohsen, and Morteza Koozehgar Kalleji. 2014. “Infinitely Many Large Energy Solutions of Nonlinear Schrödinger”. New Trends in Mathematical Sciences 2 (2): 87-94. https://izlik.org/JA85TE86FD.
EndNote
Alimohammady M, Kalleji MK (August 1, 2014) Infinitely many large energy solutions of nonlinear Schrödinger. New Trends in Mathematical Sciences 2 2 87–94.
IEEE
[1]M. Alimohammady and M. K. Kalleji, “Infinitely many large energy solutions of nonlinear Schrödinger”, New Trends in Mathematical Sciences, vol. 2, no. 2, pp. 87–94, Aug. 2014, [Online]. Available: https://izlik.org/JA85TE86FD
ISNAD
Alimohammady, Mohsen - Kalleji, Morteza Koozehgar. “Infinitely Many Large Energy Solutions of Nonlinear Schrödinger”. New Trends in Mathematical Sciences 2/2 (August 1, 2014): 87-94. https://izlik.org/JA85TE86FD.
JAMA
1.Alimohammady M, Kalleji MK. Infinitely many large energy solutions of nonlinear Schrödinger. New Trends in Mathematical Sciences. 2014;2:87–94.
MLA
Alimohammady, Mohsen, and Morteza Koozehgar Kalleji. “Infinitely Many Large Energy Solutions of Nonlinear Schrödinger”. New Trends in Mathematical Sciences, vol. 2, no. 2, Aug. 2014, pp. 87-94, https://izlik.org/JA85TE86FD.
Vancouver
1.Mohsen Alimohammady, Morteza Koozehgar Kalleji. Infinitely many large energy solutions of nonlinear Schrödinger. New Trends in Mathematical Sciences [Internet]. 2014 Aug. 1;2(2):87-94. Available from: https://izlik.org/JA85TE86FD