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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

Paul H. Rabinowitz 1,

1. 

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

Received  June 2002 Revised  March 2003 Published  October 2003

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