零点有次线性项的椭圆问题的变号解

• 作 者: 吴绍平 孙义静
• 机 构: Dept. Of Math., Zhejiang Univ.,;Nankai Institute of Math., Nankai Univ.,
• 出 处: 高校应用数学学报B辑
• 发表日期: 2001年1期
• 关键词: 零点 次线性项 椭圆问题 变号解 semilinear elliptic problem boundary value

It is proved that the semilinear elliptic problem with zero boundary value -Δu=λu-|u|q-1u has a changing sign solution, as q∈(0,1) and λ>λ2, where λ2 is the second eigenvalue of the operator -Δ in the space H10(Ω).