On Higher Integrability of the Gradient of a Solution to the Zaremba Problem for $$\boldsymbol{p(\cdot)}$$-Laplace Equation in a Plane Domain

2023

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DOI 10.1134/s1995080223080048
Data confidence 70 medium
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Abstract

A higher integrability of the gradient of a solution to the Zaremba problem in a bounded Lipschitz plane domain is proved for the inhomogeneous $$p(\cdot)$$ -Laplace equation.