On Higher Integrability of the Gradient of a Solution to the Zaremba Problem for -Laplace Equation in a Plane Domain

On Higher Integrability of the Gradient of a Solution to the Zaremba Problem for -Laplace Equation in a Plane Domain

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

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Veröffentlicht in:Lobachevskii journal of mathematics 2023, Vol.44 (8), p.3197-3206
Hauptverfasser: Alkhutov, Yu. A., Chechkin, G. A.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Geometry
Laplace equation
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
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Beschreibung
Zusammenfassung:A higher integrability of the gradient of a solution to the Zaremba problem in a bounded Lipschitz plane domain is proved for the inhomogeneous -Laplace equation.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223080048