8 citations · 26 across the 9 of their papers we have counts for
9 papers
Double-tower Solutions for Higher Order Prescribed Curvature Problem
Yuan Gao, Yuxia Guo, Yichen Hu
We consider the following higher order prescribed curvature problem on \begin{equation*} D^m \tilde u=\widetilde{K}(y) \tilde u^{m^{*}-1} \quad \mbox{on} \ {\m…
Non-degeneracy of solution for critical Lane-Emden systems with linear perturbation
Yuxia Guo, Yichen Hu, Shaolong Peng
In this paper, we consider the following elliptic system \begin{equation*} \begin{cases} -Δu = |v|^{p-1}v +ε(αu + β_1 v), &\hbox{ in }Ω, \\-Δv = |u|^{q-1}u+ε(β_2 u +αv), &\hbox{ in…
Non-degeneracy and existence of new solutions for the Schrödinger equations
Yuxia Guo, Monica Musso, Shuangjie Peng +1
We consider the following nonlinear problem $$ (P) \quad \quad - Δu + V(|y|)u=u^{p},\quad u>0 \quad \mbox{in} \ {\mathbb{R}}^N, \quad u \in H^1({\mathbb{R}}^N), $$ where is…
{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…
Solutions for fractional operator problem via local Pohozaev identities
Yuxia Guo, Ting Liu, Jianjun Nie
We consider the following fractional Schrödinger equation involving critical exponent: \begin{equation*} \left\{\begin{array}{ll} (-Δ)^s u+V(|y'|,y'')u=u^{2^*_s-1} \ \hbox{ in } \…
Infinitely many non-radial solutions to a critical equation on annulus
Yuxia Guo, Benniao Li, Angela Pistoia +1
In this paper, we build infinitely many non-radial sign-changing solutions to the critical problem: \begin{equation*} \left\{\begin{array}{rlll} -Δu&=|u|^{\frac{4}{N-2}}u, &\hbox{…
Solutions for biharmonic equations with steep potential wells
Yuxia Guo, Zhongwei Tang, Lushun Wang
In this paper, we are concerned with the existence of least energy solutions for the following biharmonic equations: wher…
Uniqueness of planar vortex patch in incompressible steady flow
Daomin Cao, Yuxia Guo, Shuangjie Peng +1
We investigate a steady planar flow of an ideal fluid in a bounded simple connected domain and focus on the vortex patch problem with prescribed vorticity strength. There are two m…
Existence and local uniqueness of bubbling solutions for poly-harmonic equations with critical growth
Yuxia Guo, Shuangjie Peng, Shusen Yan
\begin{abstract} We consider the following poly-harmonic equations with critical exponents: \begin{equation}\label{P} (-Δ)^m u =K(y)u^{\frac{N+2m}{N-2m}},\;\;\; u>0\;\;\;\hbox{in}…