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<p>In this paper, we study the blow-up profiles for the positive solutions of a class of reaction–diffusion equations under the presence of a parameter. We give a clear analysis of the influence of parameter and spatial degeneracy on the structure of positive solutions. The most intriguing and interesting case arises that the blow-up profiles make a fundamental change between the nonlocal dispersal problem and elliptic problem.</p>

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Blow-up profiles of reaction–diffusion equations involving nonlinear terms with perturbations

  • 期刊论文

  • 发表日期：

    2025年10月10日

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  • Jian-Wen Sun

摘要

In this paper, we study the blow-up profiles for the positive solutions of a class of reaction–diffusion equations under the presence of a parameter. We give a clear analysis of the influence of parameter and spatial degeneracy on the structure of positive solutions. The most intriguing and interesting case arises that the blow-up profiles make a fundamental change between the nonlocal dispersal problem and elliptic problem.