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

Paul H. Rabinowitz

doi:10.3934/dcds.2004.10.507

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2004, Volume 10, Issue 1&2: 507-515. Doi: 10.3934/dcds.2004.10.507

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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

Received: June 2002

Revised: March 2003

Published: January 2004

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Abstract

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

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Mathematics Subject Classification: 35J20, 35J60, 58E15.

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

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