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<p>In this paper, we investigate a nonlinear system of <i>n</i> coupled <i>k</i>-Hessian equations with singular weight functions. By employing the Leggett-Williams fixed-point theorem, we establish new sufficient conditions for the existence of at least three nontrivial positive radial <i>k</i>-convex solutions. Finally, an example is provided to illustrate the main result.</p>

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Existence of three nontrivial positive radial k-convex solutions to k-Hessian systems with singular weights

  • 期刊论文

  • 发表日期：

    2026年2月20日

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  • Kiran Kumar Saha,
  • Sweta Tiwari

摘要

In this paper, we investigate a nonlinear system of n coupled k-Hessian equations with singular weight functions. By employing the Leggett-Williams fixed-point theorem, we establish new sufficient conditions for the existence of at least three nontrivial positive radial k-convex solutions. Finally, an example is provided to illustrate the main result.