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Reveals existence and multiplicity of radial convex solutions in Hessian systems, indicating their significance in mathematical analysis.
In this article, we mainly consider a class of ‐‐Hessian system with gradient terms where is the ‐‐Hessian operator. By establishing appropriate hypotheses and applying the Guo‐Krasnosel'skii fixed point theorem, the existence and multiplicity of the radial ‐‐convex solutions for the above ‐‐Hessian system with gradient terms are obtained.
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Wang et al. (2026) studied this question.
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