... 2.7 Mountain pass point. An isolated critical point u of J is called a mountainpass point if C1J, u 0. To compute the critical groups of a mountain pass point, we have the following result.Proposition ... Problems,Birkh¨auser, Boston,Mass, USA, 1993.12 W. Takahashi, Nonlinear Functional Analysis, Yokohama Publishers, Yokohama, Japan, 2000.13 G. Cerami, “An existence criterion for the critical points on ... elasticity, combinatorial analysis, and so forth; forexample, see 1, 2. And many scholars have investigated difference BVP independentlymainly for two reasons. The first one is that the behavior...