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Abstrakty
In the present paper, some generalized critical points theorems for locally Lipschitz functions are given, and some classical important theorems are improved.
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Czasopismo
Rocznik
Tom
Strony
193--208
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
- Department of Mathematics Zhaotong Teachers College, cjl611106@yahoo.com.cn
Bibliografia
- [1] Brezis, H., Nirenberg, L., Remarks on finding critical points, Comm. Pure Appl. Math. 44 (1991), 939-963.
- [2] Chang, K., Variational methods for non-differential functions and their applications to partial differential equations, J. Math. Anal. Appl. 80 (1981), 102-129.
- [3] Clarke, F., Optimization and Nonsmooth Analysis, Wiley, New York, 1983.
- [4] Costa, D. G., Silva, E. A. B., The Palais-Smale condition, versus coercivity. Nonlinear Anal. 16 (1991), 371-381.
- [5] Costa, D. G., Magalhaes, C. A., Variational elliptic problems which are nonquadratic at infinity. Nonlinear Anal. 23 (1994), 1401-1412.
- [6] Goeleven, D., Motreanu, D., Panagiotopoulos, P. D., Multiple solutions for a class of eigenvalue problems in hemivariational inequalities, Nonlinear Anal. 29 (1997). 9-26.
- [7] Kourogenis, N. C., Papageorgiou, N. S., Nonsmooth critical point theory and nonlinear elliptic equations at resonance, J. Austral. Math. Soc. Ser. A 69 (2000), 245-271.
- [8] Kristaly, A., Motreanu, V. V., Varga, Cs., A minimax principle with a general Palais-Smale condition, Commum. Appl. Anal. 9 (2005), 285-297.
- [9] Marano, S. A., Motreanu, D., On a three critical points theorem for non-differential functions and applications to nonlinear boundary value problems. Nonlinear Anal. 48 (2002), 37-52.
- [10] Mawhin, J., Willem, M., Critical Point Theory and Hamiltonian Systems, Springer- Verlag, New York-Berlin-Heidelberg-London-Paris-Tokyo, 1989.
- [11] Schechter, M., Linking Methods in Critical Point Theory, Birkhauser, Boston, 1999.
- [12] Zhong, C., On Ekeland's variational principle and a minimax theorem, J. Math. Anal. Appl. 205 (1997), 239-250.
- [13] Zhong, C., Fan, X., Chen, W., Introduction of Non-Linear Function Analysis. Lanzhou Univ. Publ. House, Lanzhou, 1998.
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Bibliografia
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bwmeta1.element.baztech-article-LOD6-0006-0023