A general multiplicity theorem for certain nonlinear equations in Hilbert spaces

Proceedings of the American Mathematical Society

Volumn 133, Issue 11, 2005, Pages 3255-3261

  Ricceri, Biagio ^a  

^a UNIVERSITY OF CATANIA   (Italy)

Author keywords

Chebyshev sets; Critical points; Hilbert spaces; Level sets; Local and global minima; Minimax theory; Nonlinear equations

Indexed keywords

EID: 27844576539     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-05-08218-3     Document Type: Conference Paper

References (7)

1. N. V. Efimov and S. B. Stechkin, Approximate compactness and Chebyshev sets, Soviet Math. Dokl., 2 (1961), 1226-1228.
2. P. Pucci and J. Serrin, A mountain pass theorem, J. Differential Equations, 60 (1985), 142-149. MR0808262 (86m:58038)
3. P. H. Rabinowitz, Minimal methods in critical point theory with applications to differential equations, CBMS Reg. Conf. Ser. in Math., 65, Amer. Math. Soc., Providence, 1986. MR0845785 (87j:58024)
4. B. Ricceri, A further improvement of a minimax theorem of Borenshtein and Shul'man, J. Nonlinear Convex Anal., 2 (2001), 279-283. MR1848707 (2002e:49011)
5. I. G. Tsar'kov, Nonunigue solvability of certain differential equations and their connection with geometric approximation theory, Math. Notes, 75 (2004), 259-271.
6. C. Zalinescu, Convex analysis in general vector spaces, World Scientific, 2002. MR1921556 (2003k:49003)
7. E. Zeidler, Nonlinear functional analysis and its applications, vol. III, Springer-Verlag, 1985. MR0768749 (90b:49005)