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<p>In this paper, we first establish a class of Adams-type inequalities involving potentials and weights that can decay to zero at infinity. As an application of this result and employing minimax methods, we investigate the existence of solutions for a class of problems involving an operator formed by powers of the Laplacian and a nonlinear term that may exhibit critical exponential growth.</p>

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A weighted higher-order adams inequality and applications

  • 期刊论文

  • 发表日期：

    2025年3月28日

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  • Manassés de Souza,
  • Uberlandio Severo,
  • Lorena Maria Silva

摘要

In this paper, we first establish a class of Adams-type inequalities involving potentials and weights that can decay to zero at infinity. As an application of this result and employing minimax methods, we investigate the existence of solutions for a class of problems involving an operator formed by powers of the Laplacian and a nonlinear term that may exhibit critical exponential growth.