Non-polynomial entire solutions to Hessian equations

DOI10.1007/S00526-021-01998-4zbMath1467.35150OpenAlexW3175036975WikidataQ115386594 ScholiaQ115386594MaRDI QIDQ2037119

Caiyan Li

Publication date: 30 June 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-021-01998-4

zbMATH Keywords

Hessian equationconstruction of entire solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Entire solutions to PDEs (35B08)

Related Items (1)

A Liouville's theorem for some Monge-Ampère type equations

Cites Work

• A Liouville problem for the sigma-2 equation
• Calibrated geometries
• On the improper convex affine hyperspheres
• Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
• Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
• Nonpolynomial entire solutions to σ_kequations
• Global solutions to special Lagrangian equations

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