Some new generalizations of critical point theorems for locally Lipschitz functions

• Autorzy: Chen J.
• Języki publikacji: EN

Abstrakty

EN

In the present paper, some generalized critical points theorems for locally Lipschitz functions are given, and some classical important theorems are improved.

Słowa kluczowe

EN

critical point; Ekeland variational pronciple; locally Lipschitz function

PL

punkt krytyczny; wariacyjna zasada Ekelanda; lokalna funkcja Lipschitza

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2008
• Tom: Vol. 14, nr 2
• Strony: 193--208
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Chen J.

• Department of Mathematics Zhaotong Teachers College,

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.