FOUNTAIN THEOREM OVER CONES AND APPLICATIONS

• 作 者: Yan Shusen Yang Jianfu
• 机 构: Department of Mathematics
• 出 处: 数学物理学报（英文版）
• 发表日期: 2004年期
• 关键词: fountain theorem over cones infinitely many solutions quasilinear elliptic probl
• 基金项目: The first author is supported by ARC grant of Australia;the second author is supported by National Natural Sciences Foundations of China;NSF of Jiangxi

In this paper, we establish fountain theorems over cones and apply it to the quasilinear elliptic problem{-△pu = λ|u|q-2u +μ|u|γ-2u,x∈Ω,u=0,x∈(δ)Ω,(1)to show that problem (1) possesses infinitely many solutions, where 1 ＜ p ＜ N, 1 ＜ q ＜p ＜γΩ(∈)RN is a smooth bounded domain and λ, μ∈ R.