Sentence examples for using the generalized mountain from inspiring English sources

By using the generalized mountain pass theorem, we obtain an existence result for nonconstant periodic solutions.

We obtain this result by approaching the variational method and using the generalized mountain pass theorem for the fourth order elliptic problem with bounded nonlinear term.

Using the generalized f-projection method.

We recall the generalized mountain pass geometry.

The following result establishes the generalized mountain pass geometry for the functional (varphi u)).

We shall show that the functionalIsatisfies the generalized mountain pass geometrical assumptions.

We shall show that I ( u ) satisfies the generalized mountain pass geometrical assumptions.

By the generalized mountain pass theorem, I possesses a critical value b ≥ α.

Now, we recall the generalized mountain pass theorem (cf. Theorem 5.3 in [8]).

Our technique is based on the generalized mountain pass theorem of Rabinowitz.

Thus we first shall show that (J z)) satisfies the geometric assumptions of the generalized mountain pass theorem.