Ezistence of Non-Trivial Solutions for p-Laplacian Problems in the Non-Resonant and Resonant Cases with Respect To FucIK Spectrum

摘要：

We prove the existence of a non-trivial weak solution for the p-Laplacian equation-△pu=f(x,u) in Ω, u=0 on(e)Ω, by variational methods. We treat mainly the case of the term f satisfying the following conditions for L(Ω) functions a0, b0.a and b: f(x,u)=a0(x)u+p-1-b0(x)u_p-1+o(|u|p-1) at 0, a(x)u+p-1-b (x)u_p-1+o(|u|p-1)at ∞.

关键词： Fucik spectrum the p-Laplacian mountain pass theorem

作者: Mieko Tanaka

作者单位: Department of Mathematics, Tokyo University of Science, Wakamiya-cho 26, Shinjyuku-ku,Tokyo 162-0827, Japan

会议类型: 国际会议

会议名称: The First World Congress on Global Optimization in Engineering & Science(第一届工程与科学全局优化国际会议 WCGO2009)

会议地点: 长沙

会议语种:英文

页码: 1038-1043

在线出版日期: 2009-06-01（万方平台首次上网日期，不代表论文的发表时间）