A class of Sobolev type inequalities

DOI10.4310/MAA.2008.v15.n2.a10zbMath1181.46028OpenAlexW2074699789MaRDI QIDQ730801

Xu-Jia Wang, Gu-Ji Tian

Publication date: 1 October 2009

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.maa/1251827668

zbMATH Keywords

Green functionSobolev inequalityelliptic equation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60)

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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 ⋮ Harnack inequality for the fractional nonlocal linearized Monge-Ampère equation ⋮ Global \(W^{1,p}\) estimates for solutions to the linearized Monge-Ampère equations ⋮ Interior estimates for the Monge-Ampère type fourth order equations ⋮ Inverse iteration for the Monge–Ampère eigenvalue problem ⋮ Uniqueness of least energy solutions for Monge-Ampère functional ⋮ Moser-Trudinger type inequalities for the Hessian equation ⋮ Global Hölder estimates for 2D linearized Monge-Ampère equations with right-hand side in divergence form ⋮ The weighted Sobolev and mean value inequalities ⋮ Interior second derivative estimates for solutions to the linearized Monge-Ampère equation ⋮ Boundary Harnack inequality for the linearized Monge-Ampère equations and applications

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