Minimax theorems and applications to the existence and uniqueness of solutions of some differential equations

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• 作者：Wenhua Huang
• 关键词：Hilbert space ; ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6WK2-4HDP8DV-5&_mathId=mml1&_user=10&_cdi=6894&_rdoc=14&_handle=V-WA-A-W-ZU-MsSAYVW-UUW-U-AAZCWYWYDW-AAZWYZBZDW-VBUEDAWE-ZU-U&
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2006
• 出版时间：15 October 2006
• 年：2006
• 卷：322
• 期：2
• 页码：629-644
• 全文大小：165 K

文摘

In this paper, minimax theorems due to Stepan A. Tersian were generalized, the existence and uniqueness of solutions for several semilinear equations were proved by employing our generalized theorems, and the existence and uniqueness results of nonresonance problem for these semilinear equations under the asymptotic un-uniformity conditions were presented.