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Entire Solutions to Nonlinear Scalar Field Equations with Indefinite Linear Part
Abstract We consider the stationary semilinear Schrödinger equation −Δu + a(x)u = f (x, u), u ∈ H 1 (ℝ N ), where a and f are continuous functions converging to some limits a ∞ > 0 and f ∞ = f ∞ (u) as |x| → ∞. In the …