Elliptic equations in weighted Sobolev spaces on unbounded domains

DOI10.1155/2008/582435zbMath1158.35345OpenAlexW2045267969WikidataQ58644800 ScholiaQ58644800MaRDI QIDQ954837

Serena Boccia, Maria Transirico, Sara Monsurrò

Publication date: 18 November 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55221

zbMATH Keywords

regularityuniquenessweighted Sobolev spacesa priori boundscond-order elliptic equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15)

Related Items (4)

A priori bounds in \(L^p\) for solutions of elliptic equations in divergence form ⋮ Solvability of the Dirichlet problem in \(W^{2,p}\) for a class of elliptic equations with singular data ⋮ Solvability of the Dirichlet problem for elliptic equations in weighted Sobolev spaces on unbounded domains ⋮ A priori bounds in \(L^p\) and in \(W^{2, p}\) for solutions of elliptic equations

Cites Work

• Unnamed Item
• An existence result for elliptic equations with \(VMO\)-coefficients
• Second order elliptic equations whose coefficients have their first derivatives weakly-\(L^ n\)
• Existence results for elliptic equations.
• Teoremi di unicita in domini non limitati e teoremi di Liouville per le soluzioni dei problemi al contorno relativi alle equazioni ellittiche
• Sulle equazioni ellittiche del secondo ordine di tipo non variazionale a coefficienti discontinui
• Dirichlet problem for a class of linear second order elliptic partial differential equations with discontinuous coefficients
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients

This page was built for publication: Elliptic equations in weighted Sobolev spaces on unbounded domains