33 citations · 56 across the 30 of their papers we have counts for
4 papers · 1 filter
Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities
Cristian Cazacu, Joshua Flynn, Nguyen Lam +1
We set up a one-parameter family of inequalities that contains both the Hardy inequalities (when the parameter is 1) and the Caffarelli-Kohn-Nirenberg inequalities (when the parame…
Uniqueness of positive solutions to elliptic equations with the critical exponential growth on the unit disc and its applications
Lu Chen, Guozhen Lu, Ying Xue +1
In this paper, we will solve this uniqueness problem of positive solutions to the following equations of exponential growth: \begin{equation*} \begin{cases} -Δu =λue^{u^2},\quad\qu…
Sharp Stability of Log-Sobolev and Moser-Onofri inequalities on the Sphere
Lu Chen, Guozhen Lu, Hanli Tang
In this paper, we are concerned with the stability problem for endpoint conformally invariant cases of the Sobolev inequality on the sphere . Namely, we will establis…
Symmetry of solutions to higher and fractional order semilinear equations on hyperbolic spaces
Jungang Li, Guozhen Lu, Jianxiong Wang
We show that nontrivial solutions to higher and fractional order equations with certain nonlinearity are radially symmetric and nonincreasing on geodesic balls in the hyperbolic sp…