On the \(W^{2,1+\varepsilon }\)-estimates for the Monge-Ampère equation and related real analysis
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Publication:2248842
DOI10.1007/s00526-013-0629-1zbMath1295.35227OpenAlexW1992266220WikidataQ115387429 ScholiaQ115387429MaRDI QIDQ2248842
Publication date: 27 June 2014
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-013-0629-1
Nonlinear elliptic equations (35J60) Convexity of real functions of several variables, generalizations (26B25)
Related Items (14)
Hölder regularity of the 2D dual semigeostrophic equations via analysis of linearized Monge-Ampère equations ⋮ Remarks on the Green's function of the linearized Monge-Ampère operator ⋮ On the Preservation of Eccentricities of Monge–Ampère Sections ⋮ On certain degenerate and singular elliptic PDEs. III: Nondivergence form operators and \(RH_\infty\)-weights ⋮ Harnack inequality for the fractional nonlocal linearized Monge-Ampère equation ⋮ On certain degenerate and singular elliptic PDEs I: nondivergence form operators with unbounded drifts and applications to subelliptic equations ⋮ On certain degenerate and singular elliptic PDEs. II: Divergence-form operators, Harnack inequalities, and applications ⋮ \(W^{1,p}_{\varphi}\)-estimates for Green's functions of the linearized Monge-Ampère operator ⋮ Morrey inequalities in the Monge-Ampère quasi-metric structure ⋮ On Harnack's inequality for the linearized parabolic Monge-Ampère equation ⋮ Poincaré and Sobolev inequalities in the Monge-Ampère quasi-metric structure ⋮ Linear parabolic operators of Monge-Ampère. I: Nondivergence-form degenerate/singular PDEs ⋮ Boundary Harnack inequality for the linearized Monge-Ampère equations and applications ⋮ On convex functions and elliptic operators
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