Publication Cover
Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 1
159
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Multiple solutions for nonhomogeneous Schrödinger–Maxwell problems in ℝ3

, &
Pages 174-186 | Received 08 May 2014, Accepted 16 Dec 2014, Published online: 13 Jan 2015

References

  • Benci V, Fortunsto D. An eigenvalue problem for the Schrödinger–Maxwell equation. Topol. Meth. Nonlinear Anal. 1998;11:283–293.
  • Benci V, Fortunsto D. Solitary waves of the nonlinear Klein–Gordon equation coupled with Maxwell equations. Rev. Math. Phys. 2002;14:409–420.
  • Chen SJ, Tang CL. High energy solutions for the superlinear Schrödinger–Maxwell equations. Nonlinear Analysis. 2009;71:4927–4934.
  • Azzollini A, Pomponio A. Ground state solutions for the nonlinear Schrödinger–Maxwell equations. J. Math. Anal. Appl. 2008;345:90–108.
  • Jiang YS, Wang ZP, Zhou HS. Multiple solutions for a nonhomogeneous Schrödinger–Maxwell system in ℝ3. Nonlinear Anal. 2013;83:50–57.
  • Jeanjean L. On the existence of bounded Palais–Smale sequences and application to a Landsman–Lazer-type problem on ℝN. Proc. Soc. Edinburgh Sect. A. 2004;129:787–809.
  • Zhu XP, Zhou HS. Existence of multiple positive solutions of inhomogeneous semilinear elliptic problems in unbounded domains. Proc. Roy. Soc. Edinburgh Sect. A. 1990;115:301–318.
  • Struwe M. On the evolution of harmonic mapping of Riemannian surfaces. Comment. Math. Helv. 1985;60:558–581.
  • Ambrosetti A, Ruiz D. Multiple bound states for the Schrödinger Poisson problem. Commun. Contemp. Math. 2008;10:391–404.
  • Azzollini A, d’Avenia P, Pomponio A. On the Schrödinger Maxwell equations under the effect of a general nonlinear term. Ann. Inst. H. Poincaré Anal. Non Linéaire. 2010;27:779–791.
  • Ruiz D. The Schrödinger–Poisson equation under the effect of a nonliear local term. J. Funct. Anal. 2006;237:665–674.
  • Berestycki H, Lions PL. Nonlinear salar field equations, I, existence of a ground state. Arch. Ration. Mech. Anal. 1983;82:313–346.
  • Jeanjean L, Le Coz S. An existence and stability result for a standing waves of nonlinear Schrödinger equations. Adv. Diff. Eqn. 2006;11:813–840.
  • Kikuchi H. Existence and stability of standing waves for Schrödinger–Poisson–Slater equation. Adv. Nonlinear Stud. 2007;7:403–437.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.