Article Contents

2018, Volume 17, Issue 5: 1875-1897. Doi: 10.3934/cpaa.2018089

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Blow-up solutions for a Kirchhoff type elliptic equation with trapping potential

1.
University of Chinese Academy of Sciences and Wuhan Institute of Physics and Mathematics, CAS, Wuhan 430071, China
2.
Center for Mathematical Sciences and Department of Mathematics, Wuhan University of Technology, Wuhan, 430070, China

* Corresponding author
* Corresponding author

Received: July 2017

Revised: November 2017

Published: April 2018

This work was supported by NFSC Grants 11471331,11501555 and 11471330.

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Abstract

We study a Kirchhoff type elliptic equation with trapping potential. The existence and blow-up behavior of solutions with normalized $L^{2}$-norm for this equation are discussed.

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Mathematics Subject Classification: Primary: 35J20, 35J60; Secondary: 47J30.

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References

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