[1]林美琳.一类含不定非线性项椭圆方程的正解[J].延边大学学报(自然科学版),2022,(04):327-331.
　LIN Meilin.Positive solution for an elliptic equation with indefinite nonlinearity[J].Journal of Yanbian University,2022,(04):327-331.
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一类含不定非线性项椭圆方程的正解

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 期数: 2022年04期 页码: 327-331 栏目: 应用科学研究 出版日期: 2022-12-30
Title:
Positive solution for an elliptic equation with indefinite nonlinearity
文章编号:
1004-4353(2022)04-0327-05
作者:
林美琳
(应用数学福建省高校重点实验室(莆田学院),福建莆田351100)
Author(s):
LIN Meilin
(Key Laboratory of Applied Mathematics of Fujian Province University(Putian University), Putian 351100, China)
关键词:
正解;  不定非线性项;  椭圆方程
Keywords:
positive solution;  indefinite nonlinearity;  elliptic equation
分类号:
O175.25
文献标志码:
A
摘要:
研究了一类带权的含有不定非线性项的椭圆方程,并利用约束极小问题和精确的能量估计以及集中紧性原理和强极值原理证明了这类方程在加权情况下也存在正解.该结果拓展了奇异椭圆方程的相关结果.
Abstract:
Via constraint minimization argument and delicate energy estimates, we show the existence of a positive solution for an elliptic equation with indefinite nonlinearity.The solution is obtained by concentration compactness principle and strong maximum principle.This result extends the related results of singular elliptic equations.

参考文献/References:

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备注/Memo

收稿日期: 2022-06-21
基金项目: 国家自然科学基金(11971253); 福建省中青年教师教育科研项目(JAT190582)
作者简介: 林美琳(1982—),女,硕士,副教授,研究方向为非线性分析.

更新日期/Last Update: 2022-12-30