摘要
In this paper, we are concerned with the following class of elliptic problems:where 2 = 2N/（N-2） is the critical Sobolev exponent, 2 【 q 【 2 , 0≤μ 【 μˉ=（N-2）2<sub>4</sub> , a（x）, k（x） ∈ C（RN ）. Through a compactness analysis of the functional corresponding to the problems , we obtain the existence of positive solutions for this problem under certain assumptions on a（x） and k（x）.
In this paper, we are concerned with the following class of elliptic problems:where 2 = 2N/(N-2) is the critical Sobolev exponent, 2 < q < 2 , 0≤μ < μˉ=(N-2)2_4 , a(x), k(x) ∈ C(RN ). Through a compactness analysis of the functional corresponding to the problems , we obtain the existence of positive solutions for this problem under certain assumptions on a(x) and k(x).
基金
supported by National Natural Science Foundation of China (Grant Nos.10631030, 10871075)
the PhD Specialized Grant of the Ministry of Education of China (Grant No. 20060511001)
the Natural Science Foundation of Guangdong Province, China (Grant No. 9451064201003736)
