Liming Sun

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math.AP2024

Attainability of the best constant of Hardy-Sobolev inequality with full boundary singularities

Liming Sun, Lei Wang

We consider a type of Hardy-Sobolev inequality, whose weight function is singular on the whole domain boundary. We are concerned with the attainability of the best constant of such…

math.AP2024

Quantitative stability of harmonic maps from $R^{2}$ to $S^{2}$ with higher degree

Bin Deng, Liming Sun, Juncheng Wei

For degree $\pm 1$ harmonic maps from $R^{2}$ (or $S^{2}$ ) to $S^{2}$ , Bernand-Mantel, Muratov and Simon \cite{bernand2021quantitative} recently establish a un…

Attainability of the best constant of Hardy-Sobolev inequality with full boundary singularities

Quantitative stability of harmonic maps from R2 to S2 with higher degree

Quantitative stability of harmonic maps from $R^{2}$ to $S^{2}$ with higher degree