4 papers
Blow-up analysis and compactness for critical Dirac equations on
Ting Li, Zhongwei Tang
We study blow-up and compactness for the critical nonlinear Dirac equation \[ D_{g_0}ψ_i = H_i|ψ_i|^{\frac{2}{n-1}}ψ_i \qquad \text{on }\mathbb S^n,\quad n\ge 3, \] where is…
Fixed-spinor radial solutions of a perturbed Euclidean spinorial Yamabe equation
Ting Li, Zhongwei Tang, Yuhang Zhang
We study the perturbed Euclidean spinorial Yamabe equation \[ D_{g_{\mathbb R^n}}ψ = \frac n2\bigl(1+\varepsilon K(x)\bigr) |ψ|^{2^*-2}ψ \qquad\text{on }\mathbb R^n,\quad n\ge2, \]…
Learning-Based Adaptive MPC for Magnetorquer-Only Satellite Attitude Control
Patrick Schwartz, Abhishek Cauligi
Nanosatellites (e.g., CubeSats) have the potential to carry out useful science and exploration activities for outer solar system exploration, but their small size leads to tradeoff…
New type of bubbling solutions to a critical fractional Schrödinger equation with double potentials
Ting Li, Zhongwei Tang, Heming Wang +1
In this paper, we study the following critical fractional Schrödinger equation: \begin{equation} (-Δ)^s u+V(|y'|,y'')u=K(|y'|,y'')u^{\frac{n+2s}{n-2s}},\quad u>0,\quad y =(y',y'')…