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Article Dans Une Revue Calculus of Variations and Partial Differential Equations Année : 1997

REGULARITY FOR CRITICAL POINTS OF A NON LOCAL ENERGY

Résumé

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.
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hal-01728866 , version 1 (12-03-2018)

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  • HAL Id : hal-01728866 , version 1

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Gilles Carbou. REGULARITY FOR CRITICAL POINTS OF A NON LOCAL ENERGY. Calculus of Variations and Partial Differential Equations, 1997. ⟨hal-01728866⟩
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