Two Types of Ground State Solutions for a Periodic Schrödinger Equations with Zero on the Boundary of the Spectrum
نویسندگان
چکیده
This article concerns the Schrödinger equation −∆u+ V (x)u = f(x, u), for x ∈ R , u(x)→ 0, as |x| → ∞ . Assuming that V and f are periodic in x, and 0 is a boundary point of the spectrum σ(−∆ + V ), two types of ground state solutions are obtained with some super-quadratic conditions.
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