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Peer-reviewedCC BYElectronic Journal of Differential Equations

Existence, multiplicity and asymptotic behavior of positive solutions to (p,q)-Laplacian elliptic systems

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.

For more information and the latex file, see https://ejde.math.txstate.edu/Volumes/2026/52/abstr.html

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BibTeX
@article{meng2026existence,
  title = {{Existence, multiplicity and asymptotic behavior of positive solutions to (p,q)-Laplacian elliptic systems}},
  author = {Xiankui Meng and Meiqiang Feng},
  journal = {Electronic Journal of Differential Equations},
  year = {2026},
  month = jul,
  doi = {10.58997/ejde.2026.52},
  url = {https://doi.org/10.58997/ejde.2026.52},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Existence, multiplicity and asymptotic behavior of positive solutions to (p,q)-Laplacian elliptic systems
AU  - Xiankui Meng
AU  - Meiqiang Feng
PY  - 2026
DA  - 2026/07/01
JO  - Electronic Journal of Differential Equations
DO  - 10.58997/ejde.2026.52
UR  - https://doi.org/10.58997/ejde.2026.52
AB  - 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.  For more information and the latex file, see https://ejde.math.txstate.edu/Volumes/2026/52/abstr.html
SN  - 1072-6691
ER  -