REGULARITY FOR CRITICAL POINTS OF A NON LOCAL ENERGY
Carbou, Gilles
HAL, hal-01728866 / Harvested from HAL
Text on HAL
we study the regularity of critical points of an energy which stems from micromagnetism theory. First we show that in dimension two critical points are smooth in B 2. In the three dimensional case we prove that the stationary critical points of the energy are smooth except in a subset of one dimensional Hausdorff measure zero. The particularity of this work is the non local character of one term of the energy.
Publié le : 1997-07-04
Classification:  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-01728866,
     author = {Carbou, Gilles},
     title = {REGULARITY FOR CRITICAL POINTS OF A NON LOCAL ENERGY},
     journal = {HAL},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01728866}
}

Carbou, Gilles. REGULARITY FOR CRITICAL POINTS OF A NON LOCAL ENERGY. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-01728866/