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<p>This work is devoted to the study of the large time behaviour of the solutions to quasilinear parabolic equations defined in large size bounded noncylindrical domains. Since the domain of spatial variables is expanding when the time <i>t</i> increases, the steady state problem is defined on unbounded domains. As there are no summability assumptions on the data, the existence and the definition of solutions of the limit problem are not ordinary issues.</p>

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On the p-Laplacian type problems in large size domains

  • 期刊论文

  • 发表日期：

    2025年8月13日

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  • Senoussi Guesmia,
  • Soumia Harkat

摘要

This work is devoted to the study of the large time behaviour of the solutions to quasilinear parabolic equations defined in large size bounded noncylindrical domains. Since the domain of spatial variables is expanding when the time t increases, the steady state problem is defined on unbounded domains. As there are no summability assumptions on the data, the existence and the definition of solutions of the limit problem are not ordinary issues.