Abstract
A new proof is given of results in (V. Bangert, AIHP Anal. Nonlin. 6 (1989) 95) on the existence of minimal (in the sense of Giaquinta and Guisti) heteroclinic solutions of a nonlinear elliptic PDE. Bangert’s work is based on an earlier paper of Moser (AIHP Anal. Nonlin. 3 (1986) 229). Unlike (V. Bangert, AIHP Anal. Nonlin. 6 (1989) 95), the proof here is variational in nature, and involves the minimization of a 'renormalized’ functional. It is meant to be the first step towards finding locally vs. globally minimal solutions of the PDE.
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