応用解析セミナー

過去の記録 ~03/27次回の予定今後の予定 03/28~

開催情報 木曜日 16:00~17:30 数理科学研究科棟(駒場) 002号室
担当者 石毛 和弘

2007年02月16日(金)

15:00-16:00   数理科学研究科棟(駒場) 056号室
* 曜日と時間が普段と異なりますのでご注意ください.
Ratnasingham SHIVAJI 氏 (ミシシッピ州立大学)
Multiple positive solutions for classes of elliptic systems with combined nonlinear effects
[ 講演概要 ]
We study the existence of multiple positive solutions to systems of the form

-\\Delta u = \\lambda f(v)
-\\Delta v = \\lambda g(u)

in a bounded domain in R^N under the Dirichlet boundary conditions. Here f, g belong to a class of positive functions having a combined sublinear effect at infinity. Our result also easily extends to the corresponding p-Laplacian systems. We prove our results by the method of sub and super solutions.