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<p>In this work, we investigate a stationary reaction–diffusion–advection equation with a nonlinear term in the gradient, which entails several technical challenges in the analysis. By combining the method of sub- and supersolutions with bifurcation theory, we establish results on the existence and multiplicity of positive solutions.</p>

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Positive solutions for a stationary reaction–diffusion–advection model with nonlinear advection term

  • 期刊论文

  • 发表日期：

    2025年8月27日

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  • José Carmona,
  • Willian Cintra,
  • Marcelo F. Furtado,
  • Rodolfo F. de Oliveira

摘要

In this work, we investigate a stationary reaction–diffusion–advection equation with a nonlinear term in the gradient, which entails several technical challenges in the analysis. By combining the method of sub- and supersolutions with bifurcation theory, we establish results on the existence and multiplicity of positive solutions.