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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 $$ -Δu =|v|^{p-1}v\ \hbox{in}\ \mathbb{R}^N,\ -Δv =|u|^…
Non-degeneracy and new type of cylindrial solutions for a critical Grushin-type problem
Yuan Gao, Yuxia Guo, Ning Zhou
In this paper, we consider a critical Grushin-type problem, which is closely related to the prescribed Webster scalar curvature problems on the CR sphere with cylindrically symmetr…
New type of solutions for Schrödinger equations with critical growth
Yuan Gao, Yuxia Guo
We consider the following nonlinear Schrödinger equations with critical growth: \begin{equation} - Δu + V(|y|)u=u^{\frac{N+2}{N-2}},\quad u>0 \ \ \mbox{in} \ \mathbb {R}^N, \end{eq…
Non-degeneracy of double-tower solutions for nonlinear Schrödinger equation and applications
Yuan Gao, Yuxia Guo
This paper is concerned with the following nonlinear Schrödinger equation \begin{equation} \label{eq} - Δu + V(|y|)u=u^{p},\quad u>0 \ \ \mbox{in} \ \mathbb {R}^N, \ \ \ u \in H^1(…
Non-degeneracy of multi-bump solutions for the prescribed scalar curvature equations and applications
Yuxia Guo, Monica Musso, Shuangjie Peng +1
We consider the following prescribed scalar curvature equations in $$ - Δu =K(|y|)u^{2^*-1},\quad u>0 \quad \mbox{in} \quad {\mathbb{R}}^N, \quad u \in D^{1, 2}({\…