Elliptic equations in convex domains

DOI10.1090/spmj/1486zbMath1381.35023OpenAlexW2778586753MaRDI QIDQ4602315

Vladimir Gilelevich Maz'ya

Publication date: 9 January 2018

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1486

zbMATH Keywords

Sobolev spaceharmonic functionPoisson equationdouble layer potential

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Cites Work

• \(L^{1,p}\)-coercitivity and estimates of the Green function of the Neumann problem in a convex domain
• Gradient regularity via rearrangements for \(p\)-Laplacian type elliptic boundary value problems
• Global boundedness of the gradient for a class of nonlinear elliptic systems
• Boundedness of the Hessian of a Biharmonic Function in a Convex Domain
• Sobolev Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Elliptic equations in convex domains