$ L_p$-estimates of the solution of the Dirichlet problem for second-order elliptic equations

DOI10.1070/SM1998v189n01ABEH000287zbMath0912.35054OpenAlexW2058385014MaRDI QIDQ3839251

Yury A. Alkhutov

Publication date: 15 December 1998

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

Full work available at URL: https://doi.org/10.1070/sm1998v189n01abeh000287

zbMATH Keywords

necessary and sufficient conditiondivergence-form elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Potentials and capacities on other spaces (31C15)

Related Items (8)

V. A. Steklov's work on equations of mathematical physics and development of his results in this field ⋮ О задаче Дирихле для эллиптического уравнения ⋮ \(L_p\)-estimates for solutions of second-order elliptic equation Dirichlet problem ⋮ On Dirichlet problem ⋮ Criterion for the Sobolev well-posedness of the Dirichlet problem for the Poisson equation in Lipschitz domains. I ⋮ \(L_{p}\)-solvability of the Dirichlet problem for second order parabolic equations ⋮ The \(L^p\) resolvents of second-order elliptic operators of divergence form under the Dirichlet condition ⋮ The boundary values of solutions of an elliptic equation

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