Normalized solutions for a class of fractional Choquard equations with mixed nonlinearities
Abstract
Abstract In this paper we study the following fractional Choquard equation with mixed nonlinearities: ( − Δ ) s u = λ u + α I μ ∗ | u | q | u | q − 2 u + I μ ∗ | u | p | u | p − 2 u , x ∈ R N , ∫ R N | u | 2 d x = c 2 > 0 . $$\begin{cases}{\left(-{\Delta}\right)}^{s}u=\lambda u+\alpha \left({I}_{\mu }\ast \vert u{\vert }^{q}\right)\vert u{\vert }^{q-2}u+\left({I}_{\mu }\ast \vert u{\vert }^{p}\right)\vert u{\vert }^{p-2}u,\quad x\in {\mathbb{R}}^{N},\hfill \\ \underset{{\mathbb{R}}^{N}}{\int }\vert u{\vert }^{2} \mathrm{d}x={c}^{2}{ >}0.\hfill \end{cases}$$ Here N > 2 s , s ∈ (0, 1), μ ∈ (0, N ), and the ex
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Nonlinear Differential Equations Analysis
Fractional Differential Equations Solutions
Publication details
- Journal / source
- Demonstratio Mathematica
- Publisher
- Walter de Gruyter GmbH
- Volume
- 59
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN