Asymptotic behavior of positive solution in an annulus

作者：Guo, Zuji^*

来源：Journal of Mathematical Analysis and Applications, 2014, 417(1): 469-480.

DOI：10.1016/j.jmaa.2014.03.043

• Radial solutions
• Qualitative properties of solutions
• Hardy potential
• Supercritical index

This paper concerns the positive solutions of superlinear elliptic equation with Hardy potential:
{-Delta u + u/vertical bar x vertical bar(2)u = vertical bar u vertical bar(p-2)u in Omega,
u > 0 in Omega,
u = 0 on partial derivative Omega,
where Omega is an annulus of R-N, N >= 2. We obtain qualitative properties of solutions as p -> +infinity.

• 出版日期2014-9-1
• 单位太原理工大学