具有一般非线性项的拟线性Choquard方程的基态解  

Ground state solutions for a class of quasilinear Choquard equations with a generalized nonlinearity

作　　者：杨宁 沈自飞[1] YANG Ning;SHEN Zifei(School of Mathematical Sciences,Zhejiang Normal University,Jinhua 321004,China)

机构地区：[1]浙江师范大学数学科学学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2023年第4期361-367,共7页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(1207143)。

摘　　要：研究了一类广义拟线性Choquard方程基态解的存在性问题,利用变量替换与变分方法,证明了该方程基态解的存在性定理.所得结果推广并补充了原有结论.It was discussed the existence of ground state solutions for a class of generalized quasilinear Choquard type equations.By applying the change of variables method and variational arguments,an existence theorem of the ground state solutions of the equations was established.The obtained results extended and improved the relavant original conclusions.

关 键 词：拟线性Choquard方程 变分方法 基态解 POHOZAEV恒等式 

分 类 号：O175.25[理学—数学]