Abstract
This paper shows the existence of positive solutions for a class of p-Laplacian systems with critical homogeneous nonlinearity. We prove that the equation has at least one positive solution by applying variational and topological methods. Moreover, we establish a version of the global compactness result in unbounded domain.
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The authors thank to the referee for his/her comments which improving the paper.
Funding
W. Cintra was supported in part by FAPDF with Grants 00193.00001821/2022-21 and 00193.00001819/2022-5.
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Cintra, W., Correia, J.N. Positive solution for a class of p-Laplacian systems with critical homogeneous nonlinearity. Positivity 27, 23 (2023). https://doi.org/10.1007/s11117-023-00974-w
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DOI: https://doi.org/10.1007/s11117-023-00974-w