3 papers
math.AP2026
Topological degree and existence of nontrivial normalized solutions for mass-critical Gross-Pitaevskii systems
Fengshuang Gao, Yuxia Guo, Shusen Yan +1
In this paper, we study the existence of nontrivial solutions for the following Gross-Pitaevskii system involving mass-critical exponent: \[ \left\{ \begin{array}{ll} -Δu_{1}+V_1(x…
math.AP2025
Sign-changing solutions for critical Hamiltonian systems in
Yuxia Guo, Seunghyeok Kim, Angela Pistoia +1
We build infinitely many geometrically distinct non-radial sign-changing solutions for the Hamiltonian-type elliptic systems $$ -Δu =|v|^{p-1}v\ \hbox{in}\ \mathbb{R}^N,\ -Δv =|u|^…
math.AP2021
Non-degeneracy of multi-bump solutions for the prescribed scalar curvature equations and applications
Yuxia Guo, Monica Musso, Shuangjie Peng +1
We consider the following prescribed scalar curvature equations in $$ - Δu =K(|y|)u^{2^*-1},\quad u>0 \quad \mbox{in} \quad {\mathbb{R}}^N, \quad u \in D^{1, 2}({\…