|本期目录/Table of Contents|

[1]周梦云,蓝永艺.一类拟线性薛定谔方程解的存在性[J].集美大学学报(自然科学版),2024,29(4):365-369.
　ZHOU Mengyun,LAN Yongyi.Existence of Solutions for a Class of Quasilinear Schrodinger Equation[J].Journal of Jimei University,2024,29(4):365-369.
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一类拟线性薛定谔方程解的存在性(PDF)
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第29卷
期数:
2024年第4期
页码:
365-369
栏目:
数理科学与信息工程
出版日期:
2024-07-28

文章信息/Info

Title:
Existence of Solutions for a Class of Quasilinear Schrodinger Equation
作者:
周梦云; 蓝永艺
集美大学理学院,福建 厦门361021
Author(s):
ZHOU Mengyun; LAN Yongyi
School of Science，Jimei University,Xiamen 361021,China
关键词:
拟线性薛定谔方程; 变分法; 山路引理; 正解
Keywords:
quasilinear Schrodinger equation; variational methods; mountain pass lemma; positive solution
分类号:
-
DOI:
-
文献标志码:
A
摘要:
在RN上探究形式为-Δu+V(x)u-Δ(u2)u=h(u)的拟线性薛定谔方程解的存在性，其中,N≥3，V:RN→R，h:R→R。运用变分法和山路引理，证明了当函数V和非线性项h分别满足一些适当条件时，该拟线性薛定谔方程存在一个非平凡正解。
Abstract:
The existence of the quasilinear Schrodinger equation in RNof the form -Δu+V(x)u-Δ(u2)u=h(u),where N≥3，V:RN→R，and h:R→R were functions. Using variational method and mountain pass lemma, it was proved that the quasilinear Schrodinger equation had a nontrivial positive solution when the function V and the nonlinear term h satisfy some appropriate conditions, respectively.

参考文献/References:

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[2]蓝永艺,沈贤端.一类pLaplacian方程非平凡解的存在性[J].集美大学学报(自然科学版),2017,22(6):66.
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备注/Memo

备注/Memo:
更新日期/Last Update: 2024-09-23