Normalized ground-states for the Sobolev critical Kirchhoff equation with at least mass critical growth
Year: 2025
Type: article
Abstract: In this article, we investigate the following nonlinear Kirchhoff equation with Sobolev critical growth: − a + b ∫ R 3 ∣ ∇ u ∣ 2 d x Δ u + λ u = μ f ( u ) + ∣ u ∣ 4 u , in R 3 , u > 0 , ∫ R 3 ∣ u ∣ 2 d x = m 2 , in R 3 , ( P m ) \left\{\begin{array}{l}-\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R}}}^{3}}{| \nabla u| }^{2}{\rm{d}}x\right)\Delta u+\lambda u=\mu f\left(u)+{| u| }^{4}u,\hspace{1em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}{{\mathbb{R}}}^{3},\\ u\gt 0,\mathop{\displaystyle \int }\limits_{{{\mathbb{R}}}^{3}}{| u| }^{2}{\rm{d}}x={m}^{2},\hspace{1em}\hspace{0.1em}\text{in}\hspace{0.1
Source: Open Mathematics
Authors: Shiyong Zhang, Qiongfen Zhang
Institution: Guilin University of Technology
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,187
OpenAlex ID: W4412655835