Geodesic
Mean curvature properties for p-Laplace phase transitions
Journal of the European Mathematical Society, Tome 7 (2005) no. 3, pp. 319-359 Cet article a éte moissonné depuis la source EMS Press

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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 
@article{JEMS_2005_7_3_a2,
     author = {Berardino Sciunzi and Enrico Valdinoci},
     title = {Mean curvature properties for {p-Laplace} phase transitions},
     journal = {Journal of the European Mathematical Society},
     pages = {319--359},
     year = {2005},
     volume = {7},
     number = {3},
     doi = {10.4171/jems/31},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/31/}
}
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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

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