A new variational characterization of spatially heteroclinic solutions of a semilinear elliptic PDE

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January & February 2004, 10(1&2): 507-515. doi: 10.3934/dcds.2004.10.507

A new variational characterization of spatially heteroclinic solutions of a semilinear elliptic PDE

1.	Department of Mathematics, University of Wisconsin–Madison, Madison, WI 53706, United States

Received June 2002 Revised March 2003 Published October 2003

Abstract
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This paper provides a new variational characterization of a spatially heteroclinic solution for a family of semilinear elliptic PDE's.

Keywords: renormalized functional., spatially heteroclinic solution, semilinear elliptic PDE, minimization methods.

Mathematics Subject Classification: 35J20, 35J60, 58E1.

Citation: Paul H. Rabinowitz. A new variational characterization of spatially heteroclinic solutions of a semilinear elliptic PDE. Discrete & Continuous Dynamical Systems - A, 2004, 10 (1&2) : 507-515. doi: 10.3934/dcds.2004.10.507

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