On <i>p</i> - <i>k</i> -convex solutions for the <i>p</i> - <i>k</i> -Hessian system with the gradient term
AbstractIn this paper, we consider a class of nonlinear p-k-Hessian systems with the gradient termwhere γ > 0, p > 1, and 1 ≤ k ≤ N is an integer. We show some existence, boundedness and blow-up results of the entire positive p-k-convex radial solutions based on the monotone iterative method. Finally, we present an example to illustrate our result.Mathematics Subject Classification (2020): 35J6035B0935A16Key words: p-k-Hessian systemgradient termp-k-convex solutionblow-up
Authors
- Zhanbing Bai (ORCID: https://orcid.org/0000-0002-5131-9252)
- Zedong Yang (ORCID: https://orcid.org/0000-0002-9903-5216)
Institutions
- Shandong University of Science and Technology (CN)
Publication Details
- Journal
- Quaestiones Mathematicae
- Published
- 2024-08-05
- DOI
- https://doi.org/10.2989/16073606.2024.2381557
- Citations
- 3
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 2.93
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Shandong Province