2 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.AP2019
{Localized nodal solutions for Laplacian equations with critical exponents in
Fengshuang Gao, Yuxia Guo
In this paper, we consider the existence of localized sign-changing solutions for the Laplacian nonlinear Schrödinger equation $$ -ε^pΔ_pu+V(x)|u|^{p-2}u=|u|^{p^*-2}u+μ|u|^{q-2…