On <em>p</em>-<em>k</em>-convex solutions for the <em>p</em>-<em>k</em>-Hessian system with the gradient term

Research Article

On p-k-convex solutions for the p-k-Hessian system with the gradient term

Published in: Quaestiones Mathematicae
Volume 48 , issue 1 , 2025 , pages: 91–108
DOI: 10.2989/16073606.2024.2381557
Author(s): Zhanbing Bai Shandong University of Science and Technology, P.R. China , Zedong Yang Shandong University of Science and Technology, P.R. China
Keywords: 35J60 , 35B09 , 35A16 , p-k-Hessian system , gradient term , p-k-convex solution , blow-up
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Abstract

In this paper, we consider a class of nonlinear p-k-Hessian systems with the gradient term
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