Electron. J. Differential Equations, Vol. 2021 (2021), No. 102, pp. 1-11.

p-Laplacian equation with finitely many critical nonlinearities

Pengcheng Xia, Yu Su

Abstract:
This article concerns the ground state solution of the p-Laplacian equation with finitely many critical nonlinearities. By using the refined Sobolev inequality with Morrey norm and variational methods, we establish the existence of nonnegative ground state solution.

Submitted June 22, 2021. Published December 24, 2021.
Math Subject Classifications: 35A15, 35J20.
Key Words: p-Laplacian equation; critical exponent; ground state solution; mountain pass theorem.
DOI: https://doi.org/10.58997/ejde.2021.102

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Pengcheng Xia
School of Mathematics and Big Data
Anhui University of Science and Technology
Huainan, Anhui 232001, China
email pcxia@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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