Nonlocal minimal surfaces: Difference between revisions
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imported>Nestor (Created page with "Broadly speaking, these surfaces arise as the boundaries of domains $E \subset \mathbb{R}^n$ that minimize (within a class of given admissible configurations) the following energ...") |
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\[ J_K(E)= \int_{E}\int_{E^c}\frac{1}{|x-y|^{n+s}}dxdy \] | \[ J_K(E)= \int_{E}\int_{E^c}\frac{1}{|x-y|^{n+s}}dxdy, s\ in (0,1) \] | ||
Revision as of 11:55, 31 May 2011
Broadly speaking, these surfaces arise as the boundaries of domains $E \subset \mathbb{R}^n$ that minimize (within a class of given admissible configurations) the following energy functional:
\[ J_K(E)= \int_{E}\int_{E^c}\frac{1}{|x-y|^{n+s}}dxdy, s\ in (0,1) \]