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過去の記録 ～09/18｜次回の予定｜今後の予定 09/19～
| 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
* 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.
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.
