References
- Ambrosetti A, Rabinowitz P. Dual variational methods in critical point theory and applications. J Funct Anal. 1973;14:349–381.
- Ambrosetti A, Coti ZV. Periodic solutions of singular Lagrangian systems. Boston: Birkhäuser; 1993.
- Aubin JP, Ekeland I. Applied nonlinear analysis, pure and applied mathematics. New york: Awiley-InterScience publications; 1984.
- Bisgard J. Mountain passes and saddle points. SIAM Rev. 2015;57(2):275–292.
- Chang KC. Variational methods for non-differentiable functionals and their applications to partial differential equations. JMAA. 1981;80:102–129.
- Clarke FH. Optimization and nonsmooth analysis. New York: Wiley-Interscience; 1983.
- Ekeland I. On the variational principle. JMAA. 1974;47:324–353.
- Ekeland I. Convexity methods in Hamiltonian mechanics. Berlin: Springer; 1990.
- Ghoussoub N. A min-max principle with a relaxed boundary condition. Proc Amer Math Soc. 1993;117:439–447.
- Ghoussoub N, Preiss D. A general mountain pass principle for locating and clasifying critical points. Ann Inst Henri Poincare Anal NonLineaire. 1989;6:321–330.
- Goga G. A general mountain pass theorem for local Lipschitz functions. ROMAI J. 2009;5(2):71–77.
- Hofer H. A geometric description of the neighbourhood of a critical point given by the mountain pass theorem. J London Math Soc. 1985;31:566–570.
- Livrea R, Marano SA. Existence and classification of critical points for nondifferentiable functions[J]. Adv Differ Equ. 2004;9(9):961–978.
- Livrea R, Marano SA. A min-max principle for non-differentiable functions with a weak compactness condition. Commun Pure Appl Anal. 2009;8(3):1019–1029.
- Marano SA, Motreanu D. Critical points of non-smooth functions with a weak compactness condition. J Math Anal Appl. 2009;358(1):189–201.
- Mawhin J, Willem M. Origin and evolution of the Palais-Smale condition in critical point theory. J Fixed Point Theory Appl. 2010;7(2):265–290.
- Peral I. Beyond the mountain pass: some applications. Adv Nonlinear Stud. 2012;12(4):819–850.
- Pucci P, Serrin J. A mountain pass theorem. J Differ Equ. 1985;60:142–149.
- Pucci P, Serrin J. Extensions of the mountain pass theorem. J Funct Anal. 1984;59:185–210.
- Pucci P, Serrin J. The structure of the critical set in the mountain pass theorem. Trans Am Math Soc. 1987;299(1):115–132.
- Rabinowitz PH. Minimax methods in critical point theory with applications to differential equations. AMS; 1986. (CBMS Reg. Conf. Ser. in Math.; 65).
- Ribarska NK, Tsachev Ts.Y, Krastanov MI. On the general mountain pass principle of Ghoussoub-Preiss. Math Balkanica (N.S.). (1991) 1992;5(4):350–358.
- Schechter M. The use of Cerami sequences in critical point theory. Abstract Appl Anal. 2007;2007(3):229–235.
- Shi SZ. Ekeland's variational principle and the mountain pass lemma. Acta Math Sin. 1985;1(4):348–355.
- Struwe M. Variational methods. Berlin: Springer; 2000.
- Stuart CA. Locating Cerami sequences in a mountain pass geometry. Commun Appl Anal. 2011;15(2–4):569–588.
- Tian G. On mountain pass lemma. Bull Chin Sci. 1983;14:833–835.
- Zeidler E. Applied functional analysis. Applied mathematical sciences. Vol. 109, Springer; 1995.