2015
DOI: 10.48550/arxiv.1510.03651
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Counterexamples to Modica's gradient estimate for systems arising in multi-phase transitions

Christos Sourdis

Abstract: We construct a plethora of one-dimensional periodic solutions for a class of semilinear elliptic systems of phase transition type which violate Modica's gradient estimate. This complements a recent technical counterexample in [14] and is partly motivated by a recent open problem in [9].

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