Minkowski problems arise from sub-linear elliptic equations

DOI10.1016/j.jde.2024.09.023MaRDI QIDQ6644218

Qiuyi Dai, Xing Yi

Publication date: 27 November 2024

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

zbMATH Keywords

Minkowski problemsemilinear elliptic equation with Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

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• Brunn-Minkowski inequalities for variational functionals and related problems
• Interior a priori estimates for solutions of fully nonlinear equations
• Symmetry results for overdetermined problems on convex domains via Brunn-Minkowski inequalities
• Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
• A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
• Prescribing harmonic measure on convex domains
• Estimates of harmonic measure
• Volumen und Oberfläche.
• Allgemeine Lehrsätze über die convexen Polyeder.
• Elliptic partial differential equations of second order
• Hadamard variational formulas for \(p\)-torsion and \(p\)-eigenvalue with applications
• The direct method in the calculus of variations for convex bodies
• On differential geometry in the large. I: Minkowski's problem.
• The Minkowski problem for the torsional rigidity
• Some regularity properties of solutions of Monge Ampère equation
• On the regularity of the solution of then-dimensional Minkowski problem
• Convex Bodies The Brunn-MinkowskiTheory
• The Weyl and Minkowski problems in differential geometry in the large
• An inequality for the normal derivative of the Lane-Emden ground state

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