Scholarlink

<p>In this paper, we present new results about the compact embeddings of anisotropic variable exponent Sobolev spaces into variable Lebesgue spaces. We also refine and extend the concentration–compactness principle to trace embeddings in these spaces. Using these results, we prove the existence of infinitely many nontrivial solutions for a class of nonlinear anisotropic Neumann problems with two critical variable exponents.</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

The Compact Embeddings and the Concentration-Compactness Principles for Anisotropic Variable Exponent Sobolev Spaces and Applications

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年9月6日

查看全文
  • Nabil Chems Eddine,
  • Maria Alessandra Ragusa

摘要

In this paper, we present new results about the compact embeddings of anisotropic variable exponent Sobolev spaces into variable Lebesgue spaces. We also refine and extend the concentration–compactness principle to trace embeddings in these spaces. Using these results, we prove the existence of infinitely many nontrivial solutions for a class of nonlinear anisotropic Neumann problems with two critical variable exponents.