节点文献
H~N上带位势项的临界Choquard方程解的存在性
Existence of Solution for Critical Choquard Equation with Potential on the H~N
【摘要】 在海森堡群H~N上研究带位势项(μP(ξ)-a)u的临界Choquard方程基态解的存在性,其中μ,a∈?~+,P(ξ)是非负位势函数.利用Nehari流形方法证明当μ充分大时,方程存在基态解,同时考虑当μ→∞时方程解序列的收敛性.
【Abstract】 This paper is mainly devoted to the critical Choquard equation on the Heisenberg group H~N with potential(μP(ξ)-a)u. Where μ,a∈?~+, P(ξ) is the nonnegative potential function. We use the method of Nehari mainfold to prove the existence of ground state solutions for μ large enough. Moreover, we consider the convergence of the solution sequence of the equation when μ→∞.
【关键词】 海森堡群;
临界Choquard方程;
变分法;
存在性;
【Key words】 Heisenberg group; critical Choquard equation; variational method; existence;
【Key words】 Heisenberg group; critical Choquard equation; variational method; existence;
【基金】 国家自然科学基金项目(12071438)
- 【文献出处】 湖州师范学院学报 ,Journal of Huzhou University , 编辑部邮箱 ,2024年10期
- 【分类号】O175
- 【下载频次】10