Solution manifolds for some semilinear Schrodinger equations
Chen, Shaowei
Original · EN
In this paper, we study the following semilinear Schrödinger system - u+u=(1+Kα(εx))|u|ᵖ⁻²uin Rⁿ, u∈ H¹(Rⁿ) where 3≤ p<2* and ε>0, α>0 are small parameters. Under some conditions on Kα and the parameters α and ε, we show that this equation exist solution manifolds.
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