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

Abstract

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.