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Abstract <p> The existence of a solution and an energy bound are proven. The increased summability of the gradient of the solution to the Zaremba problem in a bounded strictly Lipschitz domain is also proved for a nonhomogeneous <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(p\)</EquationSource> </InlineEquation>-elliptic equation with low-order linear terms. </p>

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Bojarski–Meyers Inequality for Solutions of a \(p\)-Elliptic Equation with Lower-Order Terms and the Zaremba Boundary Condition. The Critical Case

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • A. G. Chechkina

摘要

Abstract

The existence of a solution and an energy bound are proven. The increased summability of the gradient of the solution to the Zaremba problem in a bounded strictly Lipschitz domain is also proved for a nonhomogeneous \(p\) -elliptic equation with low-order linear terms.