Concentration compactness of a Landau-Lifschitz type energy with radial structure

Bei Wang, Yuze Cai, Yutian Lei · Mathematica Slovaca · 2014

Abstract This paper is concerned with the asymptotic behavior of a p-Landau-Lifschitz type functional with radial structure as parameter goes to zero. We study the concentration compactness properties in the case of p ≥ n where n is the dimension. By analyzing the functional globally, we show that the singularity of p-Landau-Lifschitz energy concentrates on the origin.

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