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<p>We establish the improved integrability of the gradient of the solution to the homogeneous Dirichlet problem in a bounded strictly Lipschitz domain for an inhomogeneous <i>p</i>-elliptic equation with linear lower order terms.</p>

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The Boyarsky–Meyers Inequality for Solutions to p-Elliptic Equation with Lower Order Terms and Dirichlet Boundary Condition

  • 期刊论文

  • 发表日期：

    2025年7月10日

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  • Yu. A. Alkhutov,
  • G. A. Chechkin

摘要

We establish the improved integrability of the gradient of the solution to the homogeneous Dirichlet problem in a bounded strictly Lipschitz domain for an inhomogeneous p-elliptic equation with linear lower order terms.