摘要
In this paper, we study the Schrodinger equations (-△)^(s)u + V(x)u = a(x)|u|^(p-2)u + b(x)|u|^(q-2)u, x∈R^(N),where 0 < s < 1, 2 < q < p < 2_(s)^(*), 2_(s)^(*) is the fractional Sobolev critical exponent. Under suitable assumptions on V, a and b for which there may be no ground state solution, the existence of positive solutions are obtained via variational methods.
作者
郭青
赵雷嘎
Qing GUO;Leiga ZHAO(College of Science,Minzu University of China,Beijing,100081,China;School of Mathematics and Statistics,Beijing Technology and Business University,Beijing,100048,China)
基金
supported by the NNSF of China(12171014, 12271539, 12171326)
the Beijing Municipal Commission of Education (KZ202010028048)
the Research Foundation for Advanced Talents of Beijing Technology and Business University (19008022326)。
