In this paper we consider the problem {− Δ u=(N+ α)(N− 2)| x| α u N+ 2+ 2 α N− 2 in RN, u> 0
in RN, where α> 0 and N⩾ 3. From the characterization of the solutions of the linearized …

In this paper, we study the critical Hénon problem with non-power type perturbation. We use
the reduction argument to construct a family of bubbling solutions concentrating at the origin …

This paper deals with the following radial Caffarelli-Kohn-Nirenberg-type inequality,∫ RN| x|
α| Δ u| 2 dx≥ S rad (N, α)(∫ RN| x| l| u| p α⁎ dx) 2 p α⁎, u∈ C c∞(RN), where N≥ 3, 2< α< …

By using a suitable transform related to Sobolev inequality, we investigate the sharp
constants and optimizers in radial space for the following weighted Caffarelli-Kohn …

A Liouville type result is established for non-negative entire solutions of a weighted elliptic
equation. This provides a positive answer to a problem left open by Du and Guo (2015) and …

Utilizing a new variational principle that allows us to deal with problems beyond the usual
locally compact structure, we study problems with a supercritical nonlinearity of the …

The main thrust of our current work is to exploit very specific characteristics of a given
problem in order to acquire improved compactness for supercritical problems and to prove …

In this paper we study the following eigenvalue problem {− Δ v= λ C (α)(p α− ε)| x| α u ε p α−
ε− 1 v in Ω, u= 0 on∂ Ω, where Ω⊂ RN is a smooth bounded domain containing the origin …

We consider the following coupled elliptic system:(SN){− Δ u= μ 1 u N+ 2 N− 2+ β u 2 N− 2 v
NN− 2 in RN,− Δ v= μ 2 v N+ 2 N− 2+ β v 2 N− 2 u NN− 2 in RN, u, v> 0, u, v∈ D 1, 2 (RN) …

In this paper we are interested in positive classical solutions of (1){− Δ u= a (x) up− 1 in Ω, u>
0 in Ω, u= 0 on∂ Ω, where Ω is a bounded annular domain (not necessarily an annulus) in …