The Schrödinger–Poisson equation under the effect of a nonlinear local term
نویسنده
چکیده
In this paper we study the problem {− u+ u+ λφu= up, − φ = u2, lim|x|→+∞ φ(x)= 0, where u,φ :R3 →R are positive radial functions, λ > 0 and 1 <p < 5. We give existence and nonexistence results, depending on the parameters p and λ. It turns out that p = 2 is a critical value for the existence of solutions. © 2006 Elsevier Inc. All rights reserved.
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