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Abstract <p> A class of semilinear elliptic inequalities with transformed argument in cones is considered. Necessary conditions of existence of positive solutions in terms of growth of the nonlinear term are obtained. In some cases, their optimality is shown. </p>

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Nonexistence of Solutions of Some Semilinear Inequalities with Transformed Argument in Cones

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • E. I. Galakhov,
  • O. A. Salieva

摘要

Abstract

A class of semilinear elliptic inequalities with transformed argument in cones is considered. Necessary conditions of existence of positive solutions in terms of growth of the nonlinear term are obtained. In some cases, their optimality is shown.