Phân tích tư tưởng của nhân dân qua đoạn thơ: Những người vợ nhớ chồng… Những cuộc đời đã hóa sông núi ta trong Đất nước của Nguyễn Khoa Điềm
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SEMILINEAR PROBLEMS WITH BOUNDED NONLINEAR TERMMARTIN SCHECHTER Received 17 August 2004We solve boundary value problems for elliptic semilinear equations in which no asymptotic behavior is prescribed for the nonlinear term. 1. Introduction Many authors (beginning with Landesman and Lazer [1]) have studied resonance problems for semilinear elliptic partial differential equations of the form−∆u − λ u = f (x,u)in Ω,u = 0 on ∂Ω,(1.1)where Ω is a smooth bounded domain in Rn , λ is an eigenvalue of the linear problem−∆u = λuin Ω,u = 0 on ∂Ω,(1.2)and f (x,t) is a bounded Carath´ odory function on Ω × R...
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SEMILINEAR PROBLEMS WITH BOUNDED NONLINEAR TERM MARTIN SCHECHTER Received 17 August 2004 We solve
