Abstract
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 Δpu = h′0(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.
Original language | English |
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Pages (from-to) | 319-359 |
Number of pages | 41 |
Journal | Journal of the European Mathematical Society |
Volume | 7 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Jan 2005 |
Externally published | Yes |