Geodesic
Mean curvature properties for p-Laplace phase transitions
Journal of the European Mathematical Society, Tome 7 (2005) no. 3, pp. 319-359.

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This paper deals with phase transitions corresponding to an energy which is the sum of a kinetic part of p-Laplacian type and a double well potential h0​ with suitable growth conditions. We prove that level sets of solutions of Δp​u=h0′​(u) possessing a certain decay property satisfy a mean curvature equation in a suitable weak viscosity sense. From this, we show that, if the above level sets approach uniformly a hypersurface, the latter has zero mean curvature.
DOI : 10.4171/jems/31
Classification : 35-XX, 00-XX, 53-XX 
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     title = {Mean curvature properties for {p-Laplace} phase transitions},
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Berardino Sciunzi; Enrico Valdinoci. Mean curvature properties for p-Laplace phase transitions. Journal of the European Mathematical Society, Tome 7 (2005) no. 3, pp. 319-359. doi : 10.4171/jems/31. http://geodesic.mathdoc.fr/articles/10.4171/jems/31/

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