26 citations · 59 across the 19 of their papers we have counts for
20 papers
Generalized Adler-Moser Polynomials and Multiple vortex rings for the Gross-Pitaevskii equation
Weiwei Ao, Yehui Huang, Yong Liu +1
New finite energy traveling wave solutions with small speed are constructed for the three dimensional Gross-Pitaevskii equation \begin{equation*} iΨ_t= ΔΨ+(1-|Ψ|^2)Ψ, \end{equation…
Symmetry and symmetry breaking for the fractional Caffarelli-Kohn-Nirenberg inequality
Weiwei Ao, Azahara DelaTorre, Maria del Mar Gonzalez
In this paper, we will consider the fractional Caffarelli-Kohn-Nirenberg inequality \begin{equation*} Λ \left(\int_{\mathbb R^n}\frac{|u(x)|^{p}}{|x|^{β {p}}}\,dx\right)^{\frac{2}{…
Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation
Weiwei Ao, Juan Davila, Manuel del Pino +2
For the generalized surface quasi-geostrophic equation $$\left\{ \begin{aligned} & \partial_t θ+u\cdot \nabla θ=0, \quad \text{in } \mathbb{R}^2 \times (0,T), \\ & u=\nabla^\perp ψ…
Removability of singularities and superharmonicity for some fractional Laplacian equations
Weiwei Ao, Maria del Mar Gonzalez, Ali Hyder +1
We study some qualitative properties (including removable singularities and superharmonicity) of non-negative solutions to whi…
Blow up solutions for Sinh-Gordon equation with residual mass
Weiwei Ao, Aleks Jevnikar, Wen Yang
We are concerned with the Sinh-Gordon equation in bounded domains. We construct blow up solutions with residual mass exhibiting either partial or asymmetric blow up, i.e. where bot…
ODE-methods in non-local equations
Weiwei Ao, Hardy Chan, Azahara DelaTorre +3
Non-local equations cannot be treated using classical ODE theorems. Nevertheless, several new methods have been introduced in the non-local gluing scheme of our previous article "O…