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<p><i>We establish the improved integrability of the gradient of a solution to the Zaremba problem in a bounded strictly Lipschitz domain for an inhomogeneous p-elliptic equation with linear lower order terms and obtain the same result for the homogeneous Dirichlet problem in a bounded strictly Lipschitz domain for an inhomogeneous p-elliptic equation with linear lower order terms. Bibliography:</i> 14 <i>titles.</i></p>

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THE BOYARSKY–MEYERS INEQUALITY FOR NONLINEAR DIFFUSION EQUATION WITH CONVECTION AND BOUNDARY CONDITIONS OF VARIABLE TYPE

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • Aleksandra G. Chechkina

摘要

We establish the improved integrability of the gradient of a solution to the Zaremba problem in a bounded strictly Lipschitz domain for an inhomogeneous p-elliptic equation with linear lower order terms and obtain the same result for the homogeneous Dirichlet problem in a bounded strictly Lipschitz domain for an inhomogeneous p-elliptic equation with linear lower order terms. Bibliography: 14 titles.