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Existence of a positive solution to Kirchhoff type problemswithout compactness conditions
DENG Landan 1, SHANG Yanying 2 *
1.School of Mathematics and Statistics, Southwest University, ChongQing 400715
2. School of Mathematics and Statistics, Southwest University, ChongQing 400715
*Correspondence author
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Funding: National Natural Science Foundation of China (No.No.11971393)
Opened online: 5 January 2022
Accepted by: none
Citation: DENG Landan, SHANG Yanying.Existence of a positive solution to Kirchhoff type problemswithout compactness conditions[OL]. [ 5 January 2022] http://en.paper.edu.cn/en_releasepaper/content/4755924
 
 
In this paper, we consider a class of Kirchhoff problem with steep potential well,the nonlinear term does not require usual compactness conditions, under appropriate assumptions, we establish the existence of positive solutions by utilizing the truncation technique to overcome the lack of compactness.
Keywords:Kirchhoff type problem; Asymptotically linear; Truncation technique
 
 
 

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