\(L_p\)-estimates for solutions of second-order elliptic equation Dirichlet problem

DOI10.1007/s11232-013-0018-0zbMath1283.35019OpenAlexW2013296656MaRDI QIDQ394047

A. K. Guschin

Publication date: 24 January 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-013-0018-0

zbMATH Keywords

Dirichlet problemCarleson measureelliptic equationboundary valuenontangent maximal function

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15)

Related Items (9)

О задаче Дирихле для эллиптического уравнения ⋮ The Luzin area integral and the nontangential maximal function for solutions to a second-order elliptic equation ⋮ On Dirichlet problem ⋮ Extensions of the space of continuous functions and embedding theorems ⋮ Solvability of the Dirichlet problem for second-order elliptic equations ⋮ A criterion for the existence of \(L_p\) boundary values of solutions to an elliptic equation ⋮ The boundary values of solutions of an elliptic equation ⋮ On the existence of \(L_2\) boundary values of solutions to an elliptic equation ⋮ On solvability of the Dirichlet problem with the boundary function in \(L_2\) for a second-order elliptic equation

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