Free Access
Issue
ESAIM: COCV
Volume 16, Number 1, January-March 2010
Page(s) 77 - 91
DOI https://doi.org/10.1051/cocv:2008064
Published online 21 October 2008
  1. N. Ackermann, On a periodic Schrödinger equation with nonlinear superlinear part. Math. Z. 248 (2004) 423–443. [CrossRef] [MathSciNet] [Google Scholar]
  2. N. Ackermann, A superposition principle and multibump solutions of periodic Schrödinger equations. J. Func. Anal. 234 (2006) 277–320. [CrossRef] [Google Scholar]
  3. C.O. Alves, P.C. Carrião and O.H. Miyagaki, On the existence of positive solutions of a perturbed Hamiltonian system in Formula . J. Math. Anal. Appl. 276 (2002) 673–690. [CrossRef] [MathSciNet] [Google Scholar]
  4. A.I. Ávila and J. Yang, On the existence and shape of least energy solutions for some elliptic systems. J. Diff. Eq. 191 (2003) 348–376. [CrossRef] [Google Scholar]
  5. A.I. Ávila and J. Yang, Multiple solutions of nonlinear elliptic systems. Nonlinear Differ. Equ. Appl. 12 (2005) 459–479. [Google Scholar]
  6. T. Bartsch and D.G. De Figueiredo, Infinitely many solutions of nonlinear elliptic systems, in Progress in Nonlinear Differential Equations and Their Applications 35, Birkhäuser, Basel/Switzerland (1999) 51–67. [Google Scholar]
  7. T. Bartsch and Y. Ding, Deformation theorems on non-metrizable vector spaces and applications to critical point theory. Math. Nach. 279 (2006) 1–22. [Google Scholar]
  8. V. Benci and P.H. Rabinowitz, Critical point theorems for indefinite functionals. Inven. Math. 52 (1979) 241–273. [CrossRef] [Google Scholar]
  9. V. Coti-Zelati and P.H. Rabinowitz, Homoclinic orbits for second order Hamiltonian systems possessing superquadratic potentials. J. Amer. Math. Soc. 4 (1991) 693–727. [CrossRef] [MathSciNet] [Google Scholar]
  10. V. Coti-Zelati and P.H. Rabinowitz, Homoclinic type solutions for a semilinear elliptic PDE on Formula . Comm. Pure Appl. Math. 45 (1992) 1217–1269. [CrossRef] [MathSciNet] [Google Scholar]
  11. D.G. De Figueiredo and Y.H. Ding, Strongly indefinite functionals and multiple solutions of elliptic systems. Trans. Amer. Math. Soc. 355 (2003) 2973–2989. [CrossRef] [MathSciNet] [Google Scholar]
  12. D.G. De Figueiredo and P.L. Felmer, On superquadratic elliptic systems. Trans. Amer. Math. Soc. 343 (1994) 97–116. [Google Scholar]
  13. D.G. De Figueiredo and J. Yang, Decay, symmetry and existence of solutions of semilinear elliptic systems. Nonlinear Anal. 33 (1998) 211–234. [CrossRef] [MathSciNet] [Google Scholar]
  14. D.G. De Figueiredo, J. Marcos do Ó and B. Ruf, An Orlicz-space approach to superlinear elliptic systems. J. Func. Anal. 224 (2005) 471–496. [CrossRef] [Google Scholar]
  15. Y. Ding and L. Jeanjean, Homoclinic orbits for a non periodic Hamiltonian system. J. Diff. Eq. 237 (2007) 473–490. [CrossRef] [Google Scholar]
  16. Y. Ding and F.H. Lin, Semiclassical states of Hamiltonian systems of Schrödinger equations with subcritical and critical nonlinearies. J. Partial Diff. Eqs. 19 (2006) 232–255. [Google Scholar]
  17. J. Hulshof and R.C.A.M. Van de Vorst, Differential systems with strongly variational structure. J. Func. Anal. 114 (1993) 32–58. [CrossRef] [Google Scholar]
  18. W. Kryszewski and A. Szulkin, An infinite dimensional Morse theory with applications. Trans. Amer. Math. Soc. 349 (1997) 3181–3234. [CrossRef] [MathSciNet] [Google Scholar]
  19. W. Kryszewski and A. Szulkin, Generalized linking theorem with an application to semilinear Schrödinger equations. Adv. Differential Equations 3 (1998) 441–472. [MathSciNet] [Google Scholar]
  20. G. Li and A. Szulkin, An asymptotically periodic Schrödinger equation with indefinite linear part. Comm. Contemp. Math. 4 (2002) 763–776. [CrossRef] [Google Scholar]
  21. G. Li and J. Yang, Asymptotically linear elliptic systems. Comm. Partial Diff. Eq. 29 (2004) 925–954. [CrossRef] [Google Scholar]
  22. A. Pistoia and M. Ramos, Locating the peaks of the least energy solutions to an elliptic system with Neumann boundary conditions. J. Diff. Eq. 201 (2004) 160–176. [CrossRef] [Google Scholar]
  23. M. Reed and B. Simon, Methods of Modern Mathematical Physics, IV Analysis of Operators. Academic Press, New York (1978). [Google Scholar]
  24. E. Séré, Existence of infinitely many homoclinic orbits in Hamiltonian stysems. Math. Z. 209 (1992) 133–160. [Google Scholar]
  25. B. Sirakov, On the existence of solutions of Hamiltonian elliptic systems in RN. Adv. Differential Equations 5 (2000) 1445–1464. [MathSciNet] [Google Scholar]
  26. C. Troestler and M. Willem, Nontrivial solution of a semilinear Schrödinger equation. Comm. Partial Diff. Eq. 21 (1996) 1431–1449. [CrossRef] [MathSciNet] [Google Scholar]
  27. M. Willem, Minimax Theorems. Birkhäuser, Berlin (1996). [Google Scholar]
  28. J. Yang, Nontrivial solutions of semilinear elliptic systems in Formula . Electron. J. Diff. Eqns. 6 (2001) 343–357. [Google Scholar]

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