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math.AP2022
Infinitely many nonradial positive solutions for multi-species nonlinear Schrödinger systems in
Tuoxin Li, Juncheng Wei, Yuanze Wu
In this paper, we consider the multi-species nonlinear Schrödinger systems in $\bbr^N$: \begin{equation*} \left\{\aligned&-Δu_j+V_j(x)u_j=μ_ju_j^3+\sum_{i=1;i\not=j}^dβ_{i,j} u_i^2…
math.AP2022
Sharp stability of the logarithmic Sobolev inequality in the critical point setting
Juncheng Wei, Yuanze Wu
In this paper, we consider the Euclidean logarithmic Sobolev inequality \begin{eqnarray*} \int_{\mathbb{R}^d}|u|^2\log|u|dx\leq\frac{d}{4}\log\bigg(\frac{2}{πd e}\|\nabla u\|_{L^2(…
math.AP2022★ 6 cited
Positive solutions of the Gross-Pitaevskii equation for energy critical and supercritical nonlinearities
D. E. Pelinovsky, J. Wei, Y. Wu
We consider positive and spatially decaying solutions to the Gross-Pitaevskii equation with a harmonic potential. For the energy-critical case, there exists a ground state if and o…