Variational perturbative methods and bifurcation of bound states from the essential spectrum

Royal Society of Edinburgh - Proceedings A

Volumn 128, Issue 6, 1998, Pages 1131-1161

  Ambrosetti, Antonio ^a   Badiale, Marino ^a  

^a SCUOLA NORMALE SUPERIORE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002237653     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500027268     Document Type: Article

References (9)

1. A. Ambrosetti, D. Arcoya and J. Gamez. Asymmetric bound states of differential equations in nonlinear optics (to appear).
2. A. Ambrosetti and M. Badiale. Homoclinics: Poincaré-Melnikov type results via a variational approach. Ann. Inst. H. Poincaré Anal. Non Linéaire (to appear);
3. see also the preliminary Note, C. R. Acad. Sci. Paris Sér. I 323 (1996), 753-8.
4. A. Ambrosetti, M. Badiale and S. Cingolani. Semiclassical states of nonlinear Schrödinger equations. Arch. Rational Mech. Anal. (to appear);
5. see also the preliminary Note, Rend. Lincei. Ser. ;IX 7 (1996), 155-60.
6. R. J. Magnus. On perturbations of translationally invariant differential equations. Proc. Roy. Soc. Edinburgh Sect. A 110 (1988), 1-25.
7. N) for a semilinear elliptic equation. Proc. London Math. Soc. 57 (1988), 5-41.
8. C. Stuart. Bifurcation of homoclinic orbits and bifurcation from the essential spectrum. SIAM J. Math. Anal. 20 (1989), 1145-71.
9. C. Stuart. Bifurcation from the essential spectrum for some non-component non-linearities. Math. Methods Appl. Sci. 11 (1989), 525-42.