Increased integrability of the gradient of the solution to the Zaremba problem for the Poisson equation

DOI10.1134/S1064562421020022zbMath1479.35247OpenAlexW3181210358MaRDI QIDQ2243855

Yury A. Alkhutov, Gregory A. Chechkin

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421020022

zbMATH Keywords

Poisson equationZaremba problemintegrability of the gradient of solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

Boyarsky-Meyers estimate for solutions to Zaremba problem ⋮ The Boyarsky-Meyers estimate for second order elliptic equations in divergence form. Two spatial examples ⋮ On higher integrability of the gradient of a solution to the Zaremba problem for \(p(\cdot)\)-Laplace equation in a plane domain ⋮ On higher integrability of the gradient of solutions to the Zaremba problem for \(p\)-Laplace equation ⋮ The Boyarsky-Meyers inequality for the Zaremba problem for \(p ( \cdot)\)-Laplacian ⋮ Many-dimensional Zaremba problem for an inhomogeneous \(p\)-Laplace equation

Cites Work

• On some variational problems
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• AVERAGING OF BOUNDARY VALUE PROBLEMS WITH A SINGULAR PERTURBATION OF THE BOUNDARY CONDITIONS
• Asymptotics and estimates for the eigenelements of the Laplacian with frequently alternating non-periodic boundary conditions
• Estimate of the spectrum deviation of the singularly perturbed Steklov problem
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Increased integrability of the gradient of the solution to the Zaremba problem for the Poisson equation