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Nehari–Pohožaev-type ground state solutions of Kirchhoff-type equation with singular potential and critical exponent

Published online by Cambridge University Press:  21 June 2021

Yu Su
Affiliation:
School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan, Anhui 232001, P.R. China e-mail: yusumath@aust.edu.cn
Senli Liu
Affiliation:
School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, P.R. China
Corresponding

Abstract

In this paper, we focus on a Kirchhoff-type equation with singular potential and critical exponent. By virtue of the generalized version of Lions-type theorem and the Nehari–Pohožaev manifold, we established the existence of Nehari–Pohožaev-type ground state solutions to the mentioned equation. Some recent results from the literature are generally improved and extended.

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Article
Copyright
© Canadian Mathematical Society 2021

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Footnotes

Y. Su is supported by the Key Program of University Natural Science Research Fund of Anhui Province (KJ2020A0292). S. Liu is supported by the Fundamental Research Funds for the Central Universities of Central South University 2019zzts210.

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Nehari–Pohožaev-type ground state solutions of Kirchhoff-type equation with singular potential and critical exponent
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