Xizheng Zhang, Xiyou Cheng, Meihua Yang
Abstract:
This article concerns a generalized Hardy-Henon equation and its
associated Dirichlet problem.
We obtain upper and lower estimates for positive solutions, and establish
the existence and nonexistence of positive solutions to both the equation
and its associated Dirichlet problem under certain parametric conditions.
Submitted December 11, 2024. Published May 14, 2025.
Math Subject Classifications: 35J60, 35B09, 35B45.
Key Words: Hardy-Henon equation; sub-super solution method;
mountain pass theorem; singularity.
DOI: 10.58997/ejde.2025.50
Show me the PDF file (335 KB), TEX file for this article.
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Xizheng Zhang School of Mathematics and Statistics Lanzhou University Lanzhou, Gansu 730000, China email: 220220934341@lzu.edu.cn |
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Xiyou Cheng School of Mathematics and Statistics Lanzhou University Lanzhou, Gansu 730000, China email: chengxy@lzu.edu.cn |
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Meihua Yang School of Mathematics and Statistics Huazhong University of Science and Technology Wuhan 430074, China email: yangmeih@hust.edu.cn |
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