摘要
本文通过变分方法推广一类带权函数和临界指数的传输问题,先利用对称山路引理获得次临界情形无穷多解的存在性,再利用山路引理得到临界情形有限个正解的存在性.
A transmission problem with weight function and critical exponent is considered by using the variational method in this paper.The existence of infinitely many solutions for subcritical case is obtained by applying the Symmetric Mountain Pass Lemma,and then the existence of some positive solutions for critical case are obtained with the help of the Mountain Pass Lemma.
作者
王跃
钟荣花
郝雪妍
魏其萍
WANG Yue;ZHONG Ronghua;HAO Xueyan;WEI Qiping;无(School of Mathematics and Statistics,Guizhou University,Guiyang 550025,China;School of Management Engineering and Science,Tianjin University of Finance and Economics,Tianjin 300222,China;School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China)
出处
《应用数学》
CSCD
北大核心
2022年第2期317-326,共10页
Mathematica Applicata
基金
贵州省研究生科研基金项目(黔教合YJSCXJH[2020]083)
国家自然科学基金(11661021)
贵州民族大学科研项目(GZMUZK[2021]YB19)。
关键词
变分方法
临界指数
传送问题
对称山路引理
Variational method
Critical exponent
Transmission problem
Symmetric Mountain Pass Lemma
