A weighted \(W^{2,p}\)-a priori bound for a class of elliptic operators

DOI10.1186/1029-242X-2013-263zbMath1284.35157WikidataQ59300282 ScholiaQ59300282MaRDI QIDQ2637517

Sara Monsurrò, Maria Transirico

Publication date: 12 February 2014

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

zbMATH Keywords

a priori boundsdiscontinuous coefficientsweighted Sobolev spaceselliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (7)

Well-posedness in weighted Sobolev spaces for elliptic equations of Cordes type ⋮ Noncoercive elliptic equations with discontinuous coefficients in unbounded domains ⋮ A priori bounds in \(L^p\) for solutions of elliptic equations in divergence form ⋮ Existence and uniqueness results in weighted spaces for Dirichlet problem in unbounded domains ⋮ Solvability of the Dirichlet problem in \(W^{2,p}\) for a class of elliptic equations with singular data ⋮ Dirichlet parabolic problems involving Schrödinger type operators with unbounded diffusion and singular potential terms in unbounded domains ⋮ A priori bounds in \(L^p\) and in \(W^{2, p}\) for solutions of elliptic equations

Cites Work

• An existence result for elliptic equations with \(VMO\)-coefficients
• Second order elliptic equations of variational type in unbounded domains
• Existence results for elliptic equations.
• Sulle equazioni ellittiche del secondo ordine di tipo non variazionale a coefficienti discontinui
• CAUCHY–DIRICHLET PROBLEM ASSOCIATED TO DIVERGENCE FORM PARABOLIC EQUATIONS

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