The existence of ground state normalized solution for mass supercritical modified Kirchhoff equation
Year: 2025
Type: article
Abstract: In this paper, we focus on the existence of ground state solution with prescribed L 2 -norm for the following modified Kirchhoff problem: − a + b ∫ R N | ∇ u | 2 d x Δ u − u Δ ( u 2 ) − λ u = | u | p − 2 u , x ∈ R N , where N = 2 , 3 , a , b > 0 are constants, p ∈ 4 + 4 N , 2 ∗ , 2 ∗ = 6 if N = 3 , and 2 ∗ = + ∞ if N = 2 . By employing a novel scaling method, we establish the existence of ground state normalized solutions for the above problem. Our result is new for the mass supercritical case 4 + 4 N < p ≤ 2 ∗ , notably for the case p = 2 ∗ .
Source: Results in Applied Mathematics
Authors: Zhongxiang Wang, Cai Chang
Institution: Anhui University of Finance and Economics
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,770
OpenAlex ID: W7084051591