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

Montecchiari, Piero; Rabinowitz, Paul H.

doi:10.1016/j.anihpc.2014.10.001

Montecchiari, Piero ; Rabinowitz, Paul H.

Annales de l'I.H.P. Analyse non linéaire, Tome 33 (2016) no. 1, pp. 199-219.

Résumé

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.

MR Zbl | 1 citation dans Numdam

DOI : 10.1016/j.anihpc.2014.10.001

Classification : 35J50, 35J47, 35J57, 34C25, 34C37
Mots-clés : Second order semilinear elliptic systems, Heteroclinic solutions, Multitransition solutions, Minimization, Renormalized functional

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     title = {On the existence of multi-transition solutions for a class of elliptic systems},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {199--219},
     publisher = {Elsevier},
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     url = {http://www.numdam.org/articles/10.1016/j.anihpc.2014.10.001/}
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Montecchiari, Piero; Rabinowitz, Paul H. On the existence of multi-transition solutions for a class of elliptic systems. Annales de l'I.H.P. Analyse non linéaire, Tome 33 (2016) no. 1, pp. 199-219. doi : 10.1016/j.anihpc.2014.10.001. http://www.numdam.org/articles/10.1016/j.anihpc.2014.10.001/

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