\(W^{2,2}\) a priori bounds for a class of elliptic operators

DOI10.1155/2011/572824zbMath1250.47045OpenAlexW2017908812WikidataQ58686802 ScholiaQ58686802MaRDI QIDQ762960

Maria Salvato, Sara Monsurrò, Maria Transirico

Publication date: 8 March 2012

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/572824

zbMATH Keywords

elliptic operatorsa priory bounds

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Second-order elliptic equations (35J15)

Related Items (6)

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 ⋮ Existence and regularity of the solutions to degenerate elliptic equations in Carnot-Carathéodory spaces ⋮ A priori bounds in \(L^p\) and in \(W^{2, p}\) for solutions of elliptic equations ⋮ Weighted a priori bounds for elliptic operators of Cordes type

Cites Work

• Some remarks on spaces of Morrey type
• An existence result for elliptic equations with \(VMO\)-coefficients
• The Dirichlet problem for elliptic equations in unbounded domains of the plane
• Second order elliptic equations whose coefficients have their first derivatives weakly-\(L^ n\)
• Second order elliptic equations of variational type in unbounded domains
• Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
• A generalization of a theorem by C. Miranda
• BMO spaces on domains of \(R^n\)
• 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
• A priori bounds for elliptic equations
• Limitazioni a priori per una classe di problemi ellittici in domini non limitati
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• A priori estimates in weighted spaces for solutions of the Poisson and heat equations
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