On Helmholtz equation and Dancer’s type entire solutions for nonlinear elliptic equations
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چکیده
Starting from a bound state (positive or sign-changing) solution to −∆ωm = |ωm|p−1ωm − ωm in R, ωm ∈ H(R) and solutions to the Helmholtz equation ∆u0 + λu0 = 0 in R, λ > 0, we build new Dancer’s type entire solutions to the nonlinear scalar equation −∆u = |u|p−1u − u in R.
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تاریخ انتشار 2016