Electron. J. Differential Equations, Vol. 2022 (2022), No. 34, pp. 1-18.

Existence of solution to critical Kirchhoff-type equation with dipole-type potential

Sainan Wang, Yu Su

Abstract:
Dipole-type potential arises in the area of nonrelativistic molecular physics. In this paper, we establish the existence and nonexistence of solution to critical Kirchhoff-type equation with dipole-type potential.

Submitted June 4, 2021. Published April 22, 2022.
Math Subject Classifications: 35A15, 35J20.
Key Words: Kirchhoff-type equation; dipole-type potential; critical exponent. DOI: https://doi.org/10.58997/ejde.2022.34

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  Sainan Wang
School of Mathematics and Big Data
Anhui University of Science and Technology
Huainan, Anhui 232001, China
email: snwang@aust.edu.cn
Yu Su
School of Mathematics and Big Data
Anhui University of Science and Technology
Huainan, Anhui 232001, China
email: yusumath@aust.edu.cn

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