An existence result for elliptic equations with \(VMO\)-coefficients

DOI10.1016/j.jmaa.2006.02.048zbMath1152.35025OpenAlexW2080541213MaRDI QIDQ853986

Paola Cavaliere, Loredana Caso, Maria Transirico

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.02.048

zbMATH Keywords

linear elliptic equations\(VMO\)-coefficients

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45)

Related Items (7)

A weighted \(W^{2,p}\)-a priori bound for a class of elliptic operators ⋮ Some remarks on spaces of Morrey type ⋮ Solvability of the Dirichlet problem in \(W^{2,p}\) for a class of elliptic equations with singular data ⋮ Elliptic equations in weighted Sobolev spaces on unbounded domains ⋮ Solvability of the Dirichlet problem for elliptic equations in weighted Sobolev spaces on unbounded domains ⋮ \(W^{2,2}\) a priori bounds for a class of elliptic operators ⋮ A priori bounds in \(L^p\) and in \(W^{2, p}\) for solutions of elliptic equations

Cites Work

• Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
• BMO spaces on domains of \(R^n\)
• Sulle equazioni ellittiche del secondo ordine di tipo non variazionale a coefficienti discontinui
• A priori bounds for elliptic equations
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• Equivalent Norms for Sobolev Spaces
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