On solvability of the Dirichlet problem with the boundary function in \(L_2\) for a second-order elliptic equation

DOI10.3103/S1068362315040019zbMath1336.35137MaRDI QIDQ260347

V. Zh. Dumanyan

Publication date: 21 March 2016

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemelliptic equation

Mathematics Subject Classification ID

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

Related Items (6)

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 ⋮ 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

Cites Work

• \(L_p\)-estimates for solutions of second-order elliptic equation Dirichlet problem
• On boundary values of solutions of the Dirichlet problem for second order elliptic equation
• Estimates of the nontangential maximal function for solutions of a second-order elliptic equation
• The Dirichlet problem for a second-order elliptic equation with anL_pboundary function
• Solvability of the Dirichlet problem for a general second-order elliptic equation
• ON THE DIRICHLET PROBLEM FOR A SECOND-ORDER ELLIPTIC EQUATION
• On the behaviour near the boundary of solutions of the Dirichlet problem for elliptic equations
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