JournalsaihpcVol. 33, No. 1pp. 199–219

On the existence of multi-transition solutions for a class of elliptic systems

  • Paul H. Rabinowitz

    Department of Mathematics, University of Wisconsin–Madison, Madison, WI 53706, USA

  • Piero Montecchiari

    Dipartimento di Ingegneria Industriale e Scienze Matematiche, Università Politecnica delle Marche, Via brecce bianche, Ancona, I-60131, Italy
On the existence of multi-transition solutions for a class of elliptic systems cover
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Abstract

The existence of solutions undergoing multiple spatial transitions between isolated periodic solutions is studied for a class of systems of semilinear elliptic partial differential equations. A key tool is a new result on the possible behavior of the set of single transition solutions.

Cite this article

Paul H. Rabinowitz, Piero Montecchiari, On the existence of multi-transition solutions for a class of elliptic systems. Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), no. 1, pp. 199–219

DOI 10.1016/J.ANIHPC.2014.10.001