Normalized solutions to nonlinear Schrödinger equations with mixed fractional Laplacians
Year: 2025
Type: article
Abstract: We consider the following elliptic problem with mixed local and nonlocal operators: ( − Δ ) s 1 u + ( − Δ ) s 2 u + λ u = f ( u ) in R N , ∫ R N ∣ u ( x ) ∣ 2 d x = c , u ∈ H s 2 ( R N ) , \left\{\begin{array}{l}{\left(-\Delta )}^{{s}_{1}}u+{\left(-\Delta )}^{{s}_{2}}u+\lambda u=f\left(u)\hspace{1.0em}{\rm{in}}\hspace{0.33em}{{\mathbb{R}}}^{N},\hspace{1.0em}\\ \mathop{\displaystyle \int }\limits_{{{\mathbb{R}}}^{N}}{| u\left(x)| }^{2}{\rm{d}}x=c,\hspace{1.0em}\\ u\in {H}^{{s}_{2}}\left({{\mathbb{R}}}^{N}),\hspace{1.0em}\end{array}\right. where 0 <
Source: Advances in Nonlinear Analysis
Authors: Anmin Mao, Changchang Yan
Institution: Qufu Normal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,469
OpenAlex ID: W4412908900