A priori bounds in \(L^p\) and in \(W^{2, p}\) for solutions of elliptic equations

DOI10.1155/2013/650870zbMath1470.35154OpenAlexW2044004990WikidataQ58916523 ScholiaQ58916523MaRDI QIDQ2318938

Sara Monsurrò, Maria Transirico

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/650870

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

Elliptic equations in Sobolev spaces with Morrey drift and the zeroth-order coefficients

Cites Work

• Dirichlet problem for divergence form elliptic equations with discontinuous coefficients
• A priori bounds in \(L^p\) for solutions of elliptic equations in divergence form
• An \(L^p\)-estimate for weak solutions of elliptic equations
• Some remarks on spaces of Morrey type
• \(W^{2,2}\) a priori bounds for a class of elliptic operators
• An existence result for elliptic equations with \(VMO\)-coefficients
• Elliptic equations in weighted Sobolev spaces on unbounded domains
• Solvability of the Dirichlet problem for elliptic equations in weighted Sobolev spaces on unbounded domains
• Alcune osservazioni sulla maggiorazione in \(L^ \nu\) delle soluzioni deboli delle equazioni ellittiche del secondo ordine
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Sulle equazioni ellittiche del secondo ordine di tipo non variazionale a coefficienti discontinui
• A weighted \(W^{2,p}\)-a priori bound for a class of elliptic operators
• Quasilinear elliptic equations with quadratic growth in unbounded domains
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