Asymptotic shape of a solution for the Plasma problem in higher dimensional spaces
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.
Received: July 2002; Revised: February 2003; Published: March 2003.
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