A priori estimates and existence of solutions to the prescribed centroaffine curvature problem

DOI10.1016/j.jfa.2017.08.024zbMath1439.35179OpenAlexW2750854816MaRDI QIDQ1686036

Xu-Jia Wang, Jian Lu, Huai-Yu Jian

Publication date: 20 December 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1885/139100

zbMATH Keywords

a priori estimatesexistence of solutionsMonge-Ampère equationcentroaffine curvature

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Monge-Ampère equations (35J96)

Related Items (15)

Boundary Hölder estimates for nonlinear singular elliptic equations ⋮ Smooth solutions to the Gauss image problem ⋮ The \(L_p\) Gauss image problem ⋮ On the \(L_p\) Gaussian Minkowski problem ⋮ Existence of convex hypersurfaces with prescribed centroaffine curvature ⋮ Sharp boundary regularity for some degenerate-singular Monge-Ampère equations on \(k\)-convex domain ⋮ A generalized rotationally symmetric case of the centroaffine Minkowski problem ⋮ Existence of solutions to the Orlicz-Minkowski problem ⋮ A remark on rotationally symmetric solutions to the centroaffine Minkowski problem ⋮ Unnamed Item ⋮ A flow method for the dual Orlicz–Minkowski problem ⋮ Symmetry of solutions to a class of Monge-Ampère equations ⋮ A singular Monge-Ampère equation on unbounded domains ⋮ \(C^{1,1}\) regularity for solutions to the degenerate \(L_p\) dual Minkowski problem ⋮ Existence of smooth even solutions to the dual Orlicz-Minkowski problem

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