Normalized solutions to the biharmonic nonlinear Schrödinger equation with combined nonlinearities

2023/05/26 by Chen, Wenjing, Wang, Zexi
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.16565

Abstract

In this article, we study the existence of normalized ground state solutions for the following biharmonic nonlinear Schrödinger equation with combined nonlinearities Δ²u=λu+μ|u|^q-2u+|u|^p-2u, \text in ℝ^N having prescribed mass ∫_ℝ^N|u|²dx=a², where N≥2, μ∈ ℝ, a>0, 20, p=4^*, and 2

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