Potential estimates and applications to elliptic equations

DOI10.3934/proc.2015.0793zbMath1336.35142OpenAlexW2327611537MaRDI QIDQ260903

Maria Transirico, Sara Monsurrò, Farman I. Mamedov

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/proc.2015.0793

zbMATH Keywords

a priori boundselliptic equationspotential estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

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An application of potential estimates to a priori bounds for elliptic equations

Cites Work

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• Regularity of the solutions of degenerate elliptic equations in divergent form
• Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
• Regularity of solutions of linear and quasilinear equations of elliptic type in divergence form
• Sopra una classe di equazioni ellittiche a coefficienti misurabili
• Sulle equazioni ellittiche del secondo ordine di tipo non variazionale a coefficienti discontinui
• Linear and quasilinear elliptic equations
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients

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