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Concentration compactness of a Landau-Lifschitz type energy with radial structure |
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| Authors: | Bei Wang Yuze Cai Yutian Lei |
| Institution: | 1. School of mathematics and information technology, Jiangsu Second Normal University, Nanjing, Jiangsu, 210013, China 2. Department of Basic Science, Shazhou Professional Institute of Technology, Zhangjiagang, Jiangsu, 215600, China 3. Jiangsu Key Laboratory for NSLSCS, School of Mathematics Sciences, Nanjing Normal University, Nanjing, Jiangsu, 210023, China |
| 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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