刘玥; 王征平
Liu Yue; Wang Zhengping
摘要:
This article considers the equation
△2 u =f(x,u)
with boundary conditions either u|∂Ω=∂u∂n|∂Ω=0 or u|∂Ω=△u|∂Ω=0, where f(x,t) is asymptotically linear with respect to t at infinity, and Ω is a smooth bounded domain in RN, N >4. By a variant version of Mountain Pass Theorem, it is proved that the above problems have a nontrivial solution under suitable assumptions of f(x,t).
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