曲阜师范大学学报（自然科学版）2020，Vol.46Issue(2)：19-25,7.DOI:10.3969/j.issn.1001-5337.2020.2.019
渐近线性基尔霍夫型方程的解的存在性
Existence of solutions for asymptotically linear Kirchhoff equations
张雪 1孙燕 2栾世霞1
作者信息
- 1. 曲阜师范大学数学科学学院,273165,曲阜市
- 2. 高密市崇贤小学,261500,山东省高密市
- 折叠
摘要
Abstract
In this paper,we study the following Kirchhoff type equation [a+λ∫RN | ▽u |2+V(x)u2][-△u+V(x)u]=K(x)f(u),inRN,where N≥3,a ＞ 1,λ ≥0 is a parameter,and f (t) is asymptotically linear at infinity.By using variational methods,we obtain the existence of nontrivial solutions under appropriate assumptions on K (x).A cut-off functional is utilized to obtain the bounded Palais-Smale sequences.关键词
基尔霍夫型方程/渐近线性/截断函数/变分方法Key words
Kirchhoff type equation/asymptotically linear/cut-off functional/variational methods分类
数理科学引用本文复制引用
张雪,孙燕,栾世霞..渐近线性基尔霍夫型方程的解的存在性[J].曲阜师范大学学报（自然科学版）,2020,46(2):19-25,7.
