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<p>In this paper, we study a mixed local and nonlocal equation with nonsymmetric perturbations, where the lack of translation invariance prevents standard compactness arguments. By combining Lieb’s compactness Theorem with refined analytic techniques, we establish the existence of ground states for subcritical and double critical problems.</p>

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Existence of Ground State Solutions for Mixed Local and Nonlocal Equations with Nonsymmetric Perturbations

  • 期刊论文

  • 发表日期：

    2026年1月9日

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  • Jie Yang

摘要

In this paper, we study a mixed local and nonlocal equation with nonsymmetric perturbations, where the lack of translation invariance prevents standard compactness arguments. By combining Lieb’s compactness Theorem with refined analytic techniques, we establish the existence of ground states for subcritical and double critical problems.