Xiankui Meng, Meiqiang Feng
Abstract:
In this article, we study elliptic systems consisting of \(p\)-Laplacian equations
and \(q\)-Laplacian equations (for short \((p,q)\)-Laplacian elliptic system).
By employing topological methods, we discuss the existence, nonexistence, and
multiplicity of positive solutions depending on multiple parameters.
We also study the asymptotic behavior of the solutions.
Submitted March 10, 2026. Published July 9, 2026.
Math Subject Classifications: 35J62, 35J66, 35J92.
Key Words: (p,q)-Laplacian elliptic system; positive solution; topological method;
existence; uniqueness; multiplicity; asymptotic behavior.
DOI: 10.58997/ejde.2026.52
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Xiankui Meng College of Applied Science Beijing Information Science and Technology University Beijing 102206, China email: chihiroshinja@foxmail.com |
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Meiqiang Feng College of Applied Science Beijing Information Science and Technology University Beijing 102206, China email: meiqiangfeng@sina.com |
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