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math.AP2021
On some nonlinear Schrödinger equations in $\bbr^N$
Juncheng Wei, Yuanze Wu
In this paper, we introduce some new ideas to study Schrodinger equations in RN with power-type nonlinearities.
math.AP2021
Stability of Caffarelli-Kohn-Nirenberg inequality
Juncheng Wei, Yuanze Wu
In this paper, we consider the Caffarelli-Kohn-Nirenberg (CKN) inequality: \begin{eqnarray*} \bigg(\int_{{\mathbb R}^N}|x|^{-b(p+1)}|u|^{p+1}dx\bigg)^{\frac{2}{p+1}}\leq C_{a,b,N}\…