Abstract
We study, via the eigenvalue theory of completely continuous operators, the existence and asymptotic behavior of nontrivial p-k-convex radial solutions for a p-k-Hessian equation. This is probably the first time that p-k-Hessian equations have been studied by employing this technique. Several new nonexistence conclusions are also derived in this paper.
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Acknowledgements
This work was supported by the National Natural Science Foundation of China (12371112) and the Beijing Natural Science Foundation (1212003). The authors want to express their gratitude to the reviewers for careful reading and valuable suggestions, which improve the value of the article.
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Feng, M., Lu, Y. Existence and asymptotic behavior of nontrivial p-k-convex radial solutions for p-k-Hessian equations. Lett Math Phys 114, 107 (2024). https://doi.org/10.1007/s11005-024-01858-0
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DOI: https://doi.org/10.1007/s11005-024-01858-0
Keywords
- p-k-Hessian equation and system
- Eigenvalue theory
- p-k-Convex solution
- Existence and asymptotic behavior