This paper presents a variational method for constructing solutions of a pendulum model equation that shadow a mountain pass solution glued to a minimum of the associated functional. It allows for more degenerate situations and gives more qualitative information than the classical Poincare–Birkho–Smale theory.
Keywords:
variational methods, minima, mountain pass solutions, hybrid solutions, invariant region, heat flow
Citation:
Rabinowitz P. H., Gluing a Mountain Pass Solution to a Minimum, Regular and Chaotic Dynamics,
2009, Volume 14, Number 1,
pp. 163-178