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<p>In this paper we study the existence of solutions for nonlinear anisotropic elliptic problems with irregular forcing terms and nonlinear convection terms. We show that under suitable conditions there exist distributional solutions. Moreover, the existence of entropy solutions is proved for a larger class of problems.</p>

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Some anisotropic elliptic problems with irregular data

  • 期刊论文

  • 发表日期：

    2025年9月3日

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  • G. Rita Cirmi,
  • Maria Michaela Porzio

摘要

In this paper we study the existence of solutions for nonlinear anisotropic elliptic problems with irregular forcing terms and nonlinear convection terms. We show that under suitable conditions there exist distributional solutions. Moreover, the existence of entropy solutions is proved for a larger class of problems.