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
Show me the PDF file (325 KB), TEX file for this article.
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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 |
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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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