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<p>In this paper, we establish new functional inequalities of Adams type with a logarithmic weight, involving unbounded or decaying radial weights in second-order Sobolev spaces. These inequalities are novel and clearly highlight the importance of such weights. As an application of these inequalities, we study in the last part of this work some quasilinear equations involving exponential critical growth.</p>

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New log-weighted adams-type inequalities on \(\mathbb {R}^N\) and related quasilinear nonhomogeneous equations

  • 期刊论文

  • 发表日期：

    2025年10月21日

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  • Rahma Jlel

摘要

In this paper, we establish new functional inequalities of Adams type with a logarithmic weight, involving unbounded or decaying radial weights in second-order Sobolev spaces. These inequalities are novel and clearly highlight the importance of such weights. As an application of these inequalities, we study in the last part of this work some quasilinear equations involving exponential critical growth.