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<p>We give existence results for weak (possibly unbounded) solutions of Dirichlet problems for elliptic equations having degenerate coercivity and a first order term which has quadratic growth with respect to the gradient. The proof is based on the use of test functions having exponential growth.</p>

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Unbounded solutions for Dirichlet problems with degenerate coercivity and a quadratic gradient term

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Lucio Boccardo,
  • Andrea Dall’Aglio

摘要

We give existence results for weak (possibly unbounded) solutions of Dirichlet problems for elliptic equations having degenerate coercivity and a first order term which has quadratic growth with respect to the gradient. The proof is based on the use of test functions having exponential growth.