The Monge-Ampère quasi-metric structure admits a Sobolev inequality
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Publication:2448554
DOI10.4310/MRL.2013.v20.n3.a10zbMath1354.49081MaRDI QIDQ2448554
Publication date: 2 May 2014
Published in: Mathematical Research Letters (Search for Journal in Brave)
Related Items (14)
Remarks on the Green's function of the linearized Monge-Ampère operator ⋮ 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 ⋮ Inverse iteration for the Monge–Ampère eigenvalue problem ⋮ Harnack's inequality for solutions to the linearized Monge-Ampère operator with lower-order terms ⋮ On certain degenerate and singular elliptic PDEs. II: Divergence-form operators, Harnack inequalities, and applications ⋮ Uniqueness of least energy solutions for Monge-Ampère functional ⋮ \(W^{1,p}_{\varphi}\)-estimates for Green's functions of the linearized Monge-Ampère operator ⋮ Fractional elliptic equations in nondivergence form: definition, applications and Harnack inequality ⋮ On the \(W^{2,1+\varepsilon }\)-estimates for the Monge-Ampère equation and related real analysis ⋮ 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 ⋮ Boundary Harnack inequality for the linearized Monge-Ampère equations and applications
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