On certain degenerate and singular elliptic PDEs. II: Divergence-form operators, Harnack inequalities, and applications

DOI10.1016/j.jde.2018.09.014zbMath1410.35043OpenAlexW2892149602WikidataQ129210498 ScholiaQ129210498MaRDI QIDQ1710551

Diego Maldonado

Publication date: 22 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.jde.2018.09.014

zbMATH Keywords

linearized Monge-Ampère operatordegenerate/singular divergence-form elliptic PDEs

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Singular elliptic equations (35J75) Monge-Ampère equations (35J96)

Related Items (4)

On certain degenerate and singular elliptic PDEs. III: Nondivergence form operators and \(RH_\infty\)-weights ⋮ Existence and uniqueness of solution for a singular elliptic differential equation ⋮ Poincaré and Sobolev inequalities in the Monge-Ampère quasi-metric structure ⋮ On convex functions and elliptic operators

Cites Work

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• Elliptic partial differential equations of second order
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• On geometric characterizations for Monge-Ampère doubling measures.
• Properties of the solutions to the Monge-Ampère equation
• On the \(W^{2,1+\varepsilon }\)-estimates for the Monge-Ampère equation and related real analysis
• Harnack's inequality for solutions to the linearized Monge-Ampère operator with lower-order terms
• The Monge-Ampère quasi-metric structure admits a Sobolev inequality
• Lectures on \(n\)-dimensional quasiconformal mappings
• Properties of the solutions of the linearized Monge-Ampere equation
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• Quasiconformal geometry of monotone mappings
• The Monge-Ampère equation

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