Rigidity of Minimizers in Nonlocal Phase Transitions Ⅱ  

作　　者：O.Savin 

机构地区：[1]Department of Mathematics, Columbia University

出　　处：《Analysis in Theory and Applications》2019年第1期1-27,共27页分析理论与应用（英文刊）

基　　金：partially supported by N.S.F. Grant DMS-1500438

摘　　要：In this paper we extend the results of[12]to the borderline case s=We obtain the classification of global bounded solutions with asymptotically flat level sets for semilinear nonlocal equations of the type△^1/2u=W′(u)in R^n,where VV is a double well potential.In this paper we extend the results of [12] to the borderline case s =1/2. We obtain the classification of global bounded solutions with asymptotically flat level sets for semilinear nonlocal equations of the type ?1/2 u = W’（u） in Rn, where W is a double well potential.

关 键 词：De Giorgi's CONJECTURE fractional LAPLACIAN 

分 类 号：O175[理学—数学]