Asymptotic shape of a solution for the Plasma problem in higher dimensional spaces

Pages: 259 - 275, Volume 2, Issue 2, June 2003

doi:10.3934/cpaa.2003.2.259       Abstract        Full Text (233.0K)       Related Articles

Masataka Shibata - Department of Mathematics, Tokyo Institute of Technology, 2-12-1 Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan (email)

Abstract: We consider asymptotic shape of a solution for a semilinear elliptic equation in dimensions 3 or over, by using singular perturbation technique. The equations arise in the Plasma Problem. The solution is obtained as a global minimizer of some energy functional. Precisely energy estimates and uniqueness of a solution for limiting problem gives information about asymptotic shape of a solution.

Keywords:  Singular perturbations.
Mathematics Subject Classification:  35B25.

Received: July 2002;      Revised: February 2003;      Published: March 2003.