5 citations · 10 across the 4 of their papers we have counts for
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Asymptotic behavior of extremal functions to an inequality involving Hardy potential and critical Sobolev exponent
Benjin Xuan, Jiangchao Wang
In this paper, we study the asymptotic behavior of radial extremal functions to an inequality involving Hardy potential and critical Sobolev exponent. Based on the asymptotic behav…
Multiple solutions to a Caffarelli-Kohn-Nirenberg type equation with asymptotically linear term
Benjin Xuan
In this paper, we study the existence of multiple solutions to a Caffarelli-Kohn-Nirenberg type equation with asymptotically linear term at infinity. In this case, the well-known A…
Existence results for a superlinear singular equation of Caffarelli-Kohn-Nirenberg type
Benjin Xuan
In this paper, using Mountain Pass Lemma and Linking Argument, we prove the existence of nontrivial weak solutions for the Dirichlet problem for the superlinear equation of Caffare…
The solvability of Brezis-Nirenberg type problems of singular quasilinear elliptic equation
Benjin Xuan
In this paper, we consider the existence and non-existence of non-trivial solution to a Brezis-Nirenberg type problem with singular weights. First, we obtain a compact imbedding th…