Scholarlink

<p>This article studies large solutions for a class of Quasi-linear equations, including the p-Laplace operator, on the <i>infinite cylindrical domain</i>. We study the existence of ‘weak’ large solutions on such a cylinder by the convergence of large solutions on finite cylinders and observe that any such solution coincides with the large solution on its cross-section. We also address the uniqueness results for equations involving the p-Laplacian.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Boundary blow-up solutions of second order quasilinear equation on infinite cylinders

  • 期刊论文

  • 发表日期：

    2026年1月4日

查看全文
  • Indranil Chowdhury,
  • N N Dattatreya

摘要

This article studies large solutions for a class of Quasi-linear equations, including the p-Laplace operator, on the infinite cylindrical domain. We study the existence of ‘weak’ large solutions on such a cylinder by the convergence of large solutions on finite cylinders and observe that any such solution coincides with the large solution on its cross-section. We also address the uniqueness results for equations involving the p-Laplacian.