NSFCNational Natural Science Foundation of China (NSFC) [1063103]; NCETProgram for New Century Excellent Talents in University (NCET) [07-0350]; Key Project of Chinese Ministry of EducationMinistry of Education, China [107081]
机构署名:
本校为其他机构
院系归属:
数学与统计学学院
摘要:
We construct spike layered solutions for the semilinear elliptic equation -epsilon(2)Delta u + V (x)u = K(x)u(p-1) on a domain Omega subset of R(N) which may be bounded or unbounded. The solutions concentrate simultaneously on a finite number of m-dimensional spheres in Omega. These spheres accumulate as epsilon -> 0 at a prescribed sphere in Omega whose location is determined by the potential functions...