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<p>In this work, we consider a reaction–diffusion that combines nonlinear diffusion with degeneracies. By employing the sub- and supersolution method with bifurcation theorems and variational techniques, we establish several results on the existence, uniqueness, and multiplicity of positive solutions. Our results show that the structure of positive solutions is significantly affected by the pattern of the degeneracies.</p>

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On a class of elliptic equations with overdispersive and degenerate nonlinear diffusion

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月27日

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  • Willian Cintra,
  • Jônatas Peralta,
  • Antonio Suárez

摘要

In this work, we consider a reaction–diffusion that combines nonlinear diffusion with degeneracies. By employing the sub- and supersolution method with bifurcation theorems and variational techniques, we establish several results on the existence, uniqueness, and multiplicity of positive solutions. Our results show that the structure of positive solutions is significantly affected by the pattern of the degeneracies.