Electronic Journal of Differential Equations, Vol. 2021 (2021), No. 102, pp. 1-11.

Title: p-Laplacian equation with finitely many critical nonlinearities
       
Authors: Pengcheng Xia (Anhui Univ. of Science and Technology, Huainan, Anhui, China)
         Yu Su (Anhui Univ. of Science and Technology, Huainan, Anhui, China)

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.