The Existence of Normalized Solutions for a Nonlocal Problem in ℝ3

الملخص EN

In this paper, we study the following fractional Schrödinger equation in ℝ3−Δσu−λu=up−2u, in ℝ3 with σ∈0,1,λ∈ℝ and p∈2+σ,2+4/3σ.

By using the constrained variational method, we show the existence of solutions with prescribed L2 norm for this problem.