Nontrivial solutions for multiparameter k-Hessian systems

Published in: Quaestiones Mathematicae
Volume 48 , issue 2 , 2025 , pages: 299–313

DOI: 10.2989/16073606.2024.2394140

Author(s): Huanhuan Ding Northwest Normal University, People’s Republic of China , Chenghua Gao Northwest Normal University, People’s Republic of China , Xingyue He Northwest Normal University, People’s Republic of China

Keywords: Primary: 34B15 , Secondary: 34B18 , Coupled k-Hessian equations , nontrivial radial solution , existence , multiplicity and nonexistence , fixed point theorem of Krasnosel’skii type

This paper is devoted to studying the coupled system of multiparameter k-Hessian equations

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