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Mixed states for an Allen-Cahn type equation, II

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Abstract.

This paper continues the recent study of an Allen-Cahn model PDE [1] by eliminating a strong spatial reversibility condition and by weakening certain nondegeneracy conditions on families of basic heteroclinic solutions, enabling us to obtain multibump solutions in a much more general setting. As in [1], novel minimization arguments play a key role in finding solutions.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin-Madison, WI 53706, Madison, USA

    Paul H. Rabinowitz & Ed Stredulinsky

Authors
  1. Paul H. Rabinowitz
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  2. Ed Stredulinsky
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Corresponding author

Correspondence to Paul H. Rabinowitz.

Additional information

Received: 7 April 2003, Accepted: 7 October 2003, Published online: 24 November 2003

Mathematics Subject Classification (2000):

35J80, 58E30

Paul H. Rabinowitz: This research was sponsored in part by the National Science Foundation under grant #MCS-8110556. Any reproduction for the purpose of the U.S. government is permitted.

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Rabinowitz, P.H., Stredulinsky, E. Mixed states for an Allen-Cahn type equation, II. Cal Var 21, 157–207 (2004). https://doi.org/10.1007/s00526-003-0251-8

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  • DOI: https://doi.org/10.1007/s00526-003-0251-8

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