Multidimensional Zaremba problem for the \(p(\,\cdot\,)\)-Laplace equation. A Boyarsky–Meyers estimate

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2024年1月1日

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Yu. A. Alkhutov,
G. A. Chechkin

摘要

Abstract

We prove the higher integrability of the gradient of solutions of the Zaremba problem in a bounded strongly Lipschitz domain for an inhomogeneous \(p(\,\cdot\,)\) -Laplace equation with a variable exponent \(p\) having a logarithmic continuity modulus.