A multiplicity theorem for the Neumann problem

Proceedings of the American Mathematical Society

Volumn 134, Issue 4, 2006, Pages 1117-1124

  Ricceri, Biagio ^a  

^a UNIVERSITY OF CATANIA   (Italy)

Author keywords

Connected components; Global minima; Multiplicity of solutions; Neumann problem

Indexed keywords

EID: 33645776409     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-05-08113-X     Document Type: Article

References (8)

1. A. Ambrosetti, A perturbation theorem for superlinear boundary value problems, M. R. C. Tech. Summ. Rep. (1974).
2. D. Gilbarg and N. S. Trudinger, Elliptic partial differential equations of second order, Springer-Verlag, 2001. MR1814364 (2001k:35004)
3. S. J. Li and Z. L. Liu, Perturbations from symmetric elliptic boundary value problems, J. Differential Equations 185 (2002), 271-280. MR1935639 (2003h:35081)
4. Z. L. Liu and J. B. Su, Solutions of some nonlinear elliptic problems with perturbation terms of arbitrary growth, Discrete Contin. Dyn. Syst. 10 (2004), 617-634. MR2018870 (2005b:35096)
5. B. Ricceri, Sublevel sets and global minima of coercive functionals and local minima of their perturbations, J. Nonlinear Convex Anal. 5 (2004), 157-168. MR2083908
6. q-solutions of the Neumann problem for the Laplacian, Bayreuth. Math. Sehr., to appear.
7. G. Stainpacchia, Contributi alla regolarizzazione delle soluzioni dei problemi al contorno per equazioni del seconda ordine ellittichc, Ann. Scuola Norm. Sup. Pisa (3) 12 (1958), 223-245. MR0125313 (23:A2616)
8. E. Zeidler, Nonlinear functional analysis and its applications, vol. III, Springer-Verlag, 1985. MR0768749 (90b:49005)