The Existence of Normalized Solutions for a Nonlocal Problem in ℝ3

Jing Yang

Advances in Mathematical Physics, 2020, vol. 2020, issue 1

Abstract: In this paper, we study the following fractional Schrödinger equation in ℝ3(−Δ)σu − λu = |u|p−2u, in ℝ3 with σ ∈ (0, 1), λ ∈ ℝ and p ∈ (2 + σ, 2 + (4/3)σ). By using the constrained variational method, we show the existence of solutions with prescribed L2 norm for this problem.

Date: 2020
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https://doi.org/10.1155/2020/3186135

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:3186135

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