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<p>We establish the existence of positive and negative solutions for a quasilinear elliptic problem exhibiting singularities. To this end, we use the sub-supersolution method. We also develop an approximation approach to find constant sign solutions, which is based on regularization and comparison arguments.</p>

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CONSTANT SIGN SOLUTIONS FOR A SINGULAR ELLIPTIC PROBLEM

  • 期刊论文

  • 发表日期：

    2025年10月3日

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  • D. Motreanu,
  • A. Moussaoui

摘要

We establish the existence of positive and negative solutions for a quasilinear elliptic problem exhibiting singularities. To this end, we use the sub-supersolution method. We also develop an approximation approach to find constant sign solutions, which is based on regularization and comparison arguments.