Geodesic
MULTIPLICITY RESULTS FOR A PERTURBED NONLINEAR SCHRÖDINGER EQUATION
Glasgow mathematical journal, Tome 49 (2007) no. 3, pp. 423-429

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, using a recent critical point theorem of Ricceri, we establish two multiplicity results for the Schrödinger equation of the formwhere are Carathéodory functions, λ and μ two positive parameters.
DOI : 10.1017/S0017089507003850
Mots-clés : 35Q55. 
CAMMAROTO, F.; CHINNÌ, A.; BELLA, B. DI. MULTIPLICITY RESULTS FOR A PERTURBED NONLINEAR SCHRÖDINGER EQUATION. Glasgow mathematical journal, Tome 49 (2007) no. 3, pp. 423-429. doi: 10.1017/S0017089507003850
@article{10_1017_S0017089507003850,
     author = {CAMMAROTO, F. and CHINN\`I, A. and BELLA, B. DI},
     title = {MULTIPLICITY {RESULTS} {FOR} {A} {PERTURBED} {NONLINEAR} {SCHR\"ODINGER} {EQUATION}},
     journal = {Glasgow mathematical journal},
     pages = {423--429},
     year = {2007},
     volume = {49},
     number = {3},
     doi = {10.1017/S0017089507003850},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003850/}
}
TY  - JOUR
AU  - CAMMAROTO, F.
AU  - CHINNÌ, A.
AU  - BELLA, B. DI
TI  - MULTIPLICITY RESULTS FOR A PERTURBED NONLINEAR SCHRÖDINGER EQUATION
JO  - Glasgow mathematical journal
PY  - 2007
SP  - 423
EP  - 429
VL  - 49
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003850/
DO  - 10.1017/S0017089507003850
ID  - 10_1017_S0017089507003850
ER  - 
%0 Journal Article
%A CAMMAROTO, F.
%A CHINNÌ, A.
%A BELLA, B. DI
%T MULTIPLICITY RESULTS FOR A PERTURBED NONLINEAR SCHRÖDINGER EQUATION
%J Glasgow mathematical journal
%D 2007
%P 423-429
%V 49
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003850/
%R 10.1017/S0017089507003850
%F 10_1017_S0017089507003850

[1] 1.Bartsch, T., Pankov, A. and Wang, Z.-Q., Nonlinear Schrödinger equations with steep potential well. Comm. Contemp. Math. 4 (2001), 549–569. Google Scholar | DOI

[2] 2.Bartsch, T., Liu, Z. and Weth, T., Sign changing solutions of superlinear Schrödinger equations, Comm. Partial Differential Equations, 29 (2004), 25–42. Google Scholar

[3] 3.Bonanno, G., Some remarks on a three critical points theorem, Nonlinear Analysis, 54 (2003), 651–665. Google Scholar | DOI

[4] 4.Kristály, A., Multiple solutions for a sublinear Schrödinger equation, NoDEA: Nonlinear Differential Equations 14 (2007), 291–302. Google Scholar | DOI

[5] 5.Pucci, P. and Serrin, J., A mountain pass theorem, J. Differential Equations 60 (1985), 142–149. Google Scholar | DOI

[6] 6.Rabinowitz, P. H., On a class of nonlinear Schrödinger equations, Z. Angew. Math. Phys. 43 (1992), 270–291. Google Scholar | DOI

[7] 7.Ricceri, B., Existence of three solutions for a class of elliptic eigenvalue problems, Math. Comput. Modelling 32 (2000), 1485–1494. Google Scholar | DOI

[8] 8.Ricceri, B., Minimax theorems for limits of parametrized functions having at most one local minimum lying in a certain set, Topology Appl., 153 (2006), 3308–3312. Google Scholar | DOI

[9] 9.Zeidler, E., Nonlinear functional analysis and applications, Vol. III. (Springer-Verlag, 1985). Google Scholar

Cité par Sources :