This article is cited in 1 paper

JÜRGEN MOSER – 80

Gluing a Mountain Pass Solution to a Minimum

P. H. Rabinowitz

Department of Mathematics, University of Wisconsin–Madison, Madison, WI 53706, U.S.A.

Abstract: 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.

MSC: 34C37, 48E30, 70K44, 34J99

Received: 25.12.2008
Accepted: 12.01.2009

Language: English

DOI: 10.1134/S1560354709010110

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